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Topic: Isosceles

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	Isosceles Triangle -- from Wolfram MathWorld
		An isosceles triangle is a triangle with (at least) two equal sides.
		An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides and angles equal.
		Another special case of an isosceles triangle is the isosceles right triangle.
	mathworld.wolfram.com /IsoscelesTriangle.html (248 words)

	Transpack - Isosceles Storage System™
		Transpack backpacks feature the patented Isosceles Storage System™.
		Two side pockets hold boots surrounding a large central compartment that accommodates a helmet and gear.
		The large central compartment protected by water resistant PVC coated fabric keeps objects in the central compartment dry.
	www.transpack.net /Isosceles.htm (83 words)

	Isosceles triangle definition - Math Open Reference
		The unequal side of an isosceles triangle is usually referred to as the 'base' of the triangle.
		The base angles of an isosceles triangle are always equal.
		It is possible to construct an isosceles triangle of given dimensions using just a compass and straightedge.
	www.mathopenref.com /isosceles.html (180 words)

	PlanetMath: isosceles triangle
		This definition implies that any equilateral triangle is isosceles too, but there are isosceles triangles that are not equilateral.
		In any isosceles triangle, the angles opposite to the equal sides are also equal.
		This is version 6 of isosceles triangle, born on 2001-10-06, modified 2004-03-17.
	planetmath.org /encyclopedia/IsoscelesTriangle.html (82 words)

	isoscelestrapezoidexamples.html
		The isosceles trapezoid that has all 4 sides equal is a special case called a square.
		The isosceles trapezoid that has 2 sets of parallel sides is a special case also, called a rectangle.
		If the isosceles trapezoid is manipulated to have 4 equal sides (a square!) then it is a special case called a rhombus.
	www.auburn.edu /~klaffnr/writeup3/isoscelestrapezoidexamples.html (120 words)

	Isosceles trapezoid - Wikipedia, the free encyclopedia
		An isosceles trapezoid (isosceles trapezium in British English) is a quadrilateral with a line of symmetry bisecting one pair of opposite sides, making it automatically a trapezoid.
		Also, the diagonals of an isosceles trapezoid are congruent and intersect at equal positions.
		The area of an isosceles trapezoid (or any trapezoid) is equal to the average of the bases times the height.
	en.wikipedia.org /wiki/Isosceles_trapezoid (188 words)

	Cat profile for Isosceles, a female Breed Unknown
		Since Isosceles and Rhombus had a bit of a VC Andrews tryst, spawning a love child known as Dodecahedron, Isosceles was sent to live with Brent.
		Apparently, some sources say that Isosceles is now wanted in 38 states for criminal activity, which explains her fear of venturing beyond the blue steps to her home.
		Isosceles made it a point to come back on Doreen's 22nd birthday, and has managed to keep her wanderlust in check.
	www.catster.com /cats/131033 (804 words)

	Triangle - Wikipedia, the free encyclopedia
		In an isosceles triangle at least two sides are of equal length.
		An isosceles triangle also has two equal internal angles (namely, the angles where each of the equal sides meets the third side).
		An equilateral triangle is actually also an isosceles triangle, but not all isosceles triangles are equilateral triangles
	en.wikipedia.org /wiki/Isosceles (2228 words)

	Geometry: Isosceles and Equilateral Triangles - Math for Morons Like Us
		An equilateral triangle is a special isosceles triangle in which all three sides are congruent.
		There are a few special rules you ought to remember when dealing with isosceles and/or equilateral triangles.
		By keeping those rules in mind and the definitions of isosceles and equilateral triangles in mind, you can solve all kinds of problems.
	library.thinkquest.org /20991/geo/ietri.html (397 words)

	Isosceles Triangle Theorems
		When the altitude is drawn in an isosceles triangle, two congruent triangles are formed, proven by Hypotenuse-Leg.
		The altitude to the base of an isosceles triangle bisects the vertex angle.
		The altitude to the base of an isosceles triangle bisects the base.
	www.regentsprep.org /Regents/math/geometry/GP6/Lisosceles.htm (244 words)

	CD Baby: ISOSCELES: Lion Hearted
		Isosceles debut EP "Lion Hearted" is the culmination of hard work and dedication.
		On this song Isosceles up-tempo & bouncy lyrics draws the listeners in while the track will have everyone on their feet and moving.
		With this offering Isosceles is setting a mark for himself and giving the people what they want, great music.
	cdbaby.com /cd/isosceles (267 words)

	3 Isosceles Trapezoids
		The applet, therefore, insures that the red and the blue quadrilaterals are isosceles trapezoids.
		The sides of an isosceles trapezoid are equal and so are its diagonals.
		A trapezoid with equal diagonals is necessarily isosceles.
	www.cut-the-knot.org /Curriculum/Geometry/TwoTrapezoidsSolution.shtml (511 words)

	Do Equal Bisectors Imply Isosceles? (Site not responding. Last check: )
		It seems intuitively obvious that if the diagonals to the opposite sides of a triangle are equal in length, then the triangle is isosceles.
		However, it can be shown that all the real non-trivial roots of this equation correspond to cases where either angle a or b exceeds 90 degrees, so they represent "inside-out" solutions.
		To formally prove that none of the other solutions of (1) is "proper", notice that we can always orient the triangle so that point C is above the x axis, which implies that the half-angles "a" and "b" are both in the range 0 to pi/2.
	www.mathpages.com /home/kmath433.htm (592 words)

	The history of SSigDOGs
		Yet in overcoming his earlier problems with distractibility, Isosceles has developed the rare ability to pay attention to other people in the social environment, without losing his focus on me. It is important to me that Isosceles be aware of people and cues in the social environment, so that he can signal me in turn.
		And Isosceles has been right there with me: guiding or pulling me through noisy crowded hallways, signaling the right classrooms so I don't miss them, picking my clients out of the crowds until I learn to recognize them by myself, and patiently and cheerfully enduring the attentions of dozens of children.
		In the fall of 1997 Isosceles and I traveled to an autism conference where I gave a presentation, and one of the other presentations at the conference was about service dogs for autistic people.
	web.syr.edu /~jisincla/dogs.htm (1819 words)

	SummitPost - Isosceles Peak -- Climbing, Hiking & Mountaineering
		Isosceles is most easily accessed via the Bishop Pass Trail, one of the most heavily utilized trails in the High Sierra.
		Isosceles Pass (12,080 feet) is 0.1 mile south of Isosceles Peak and is an alternative to Knapsack Pass.
		Isosceles can be climbed any time of year...but of course, summer is the easiest.
	www.summitpost.org /mountain/rock/151840/summitpost.html (806 words)

	The isosceles right triangle. Topics in trigonometry
		Note that since the triangle is isosceles, then the angles at the base are equal.
		Solve the isosceles right triangle whose side is 6.5 cm.
		Since this is an isosceles right triangle, the only problem is to find the unknown hypotenuse.
	www.themathpage.com /aTrig/isosceles-right-triangle.htm (321 words)

	Higher Order Thinking Skills ~ VSC 2.A.2.a ~ Mathematics Grade 6 ~ School Improvement in Maryland
		If the isosceles triangle has three congruent sides, it is equilateral.
		Two isosceles triangles may not have the same side measures or angle measures.
		Two isosceles triangles may not have the same size or shape.
	www.mdk12.org /instruction/thinking_skills/mathematics/grade6/2A2a.html (319 words)

	Equilateral and isosceles triangles - free geometry lesson plan from HomeschoolMath.net
		Draw an isosceles triangle (a triangle that has two equal sides).
		An isosceles triangle has two angles that have the same measure.
		a) Draw an isosceles triangle whose base angles are 40.
	www.homeschoolmath.net /teaching/g/equilateral_isosceles.php (495 words)

	Geometry: Isosceles and Equilateral Triangles - Text-only
		These kind of triangles are special triangles, and if you read on, you'll be able to better understand the peculiarities of each type of triangle.
		The example figure depicts an isosceles triangle with all the parts labeled.
		The example figure depicts an equilateral triangle with all the parts labeled.
	library.thinkquest.org /20991/textonly/geo/ietri.html (388 words)

	COMPANY NEWS; Isosceles Truce With Newgateway - New York Times
		LEAD: Isosceles P.L.C. said it had reached a truce with Newgateway P.L.C,, the company it defeated last month in a battle for majority control of the British supermarket operator the Gateway Corporation, Newgateway still has a 40 percent holding in Gateway.
		Isosceles P.L.C. said it had reached a truce with Newgateway P.L.C,, the company it defeated last month in a battle for majority control of the British supermarket operator the Gateway Corporation, Newgateway still has a 40 percent holding in Gateway.
		Isosceles, made up of a group of disgruntled Gateway shareholders, won the contest with a bid valuing Gateway at between $3.2 billion and $3.5 billion.
	query.nytimes.com /gst/fullpage.html?res=950DE3D91431F93AA2575BC0A96F948260 (232 words)

	Isosceles triangles (Site not responding. Last check: )
		The definiton of an isosceles triangle is a triangle with at LEAST two congruent sides.
		The dictionaries that I looked in defined isosceles as "having two equal sides", leaving it to the reader to interpret whether or not this means exactly two.
		Even if the definition were worded "An isosceles triangle is a triangle with two congruent sides" I would say that an equilateral triangle is also an isosceles triangle.
	mathcentral.uregina.ca /QQ/database/QQ.09.99/amber1.html (429 words)

	isosceles triangle - Wiktionary
		In strict mathematical usage, an isosceles triangle has at least two sides equal, since any triangle with three sides equal also has (any) two sides equal.
		In this view, all equilateral triangles are also isosceles.
		In casual usage, an isosceles triangle is understood to have the third side unequal to the other two.
	en.wiktionary.org /wiki/isosceles_triangle (70 words)

	Isosceles and Equilateral Triangles
		In an isosceles triangle, at least two sides are the same length.
		The two triangles, the original and its reflection, are congruent by SSS, hence the base angles of an isosceles triangle are equal.
		Conversely, if all three angles are congruent, the triangle is isosceles in any orientation, hence all sides have the same length, and the triangle is equilateral.
	www.mathreference.com /geo,iso.html (167 words)

	Does isosceles subsume equilateral? \| Ask MetaFilter
		My daughter was given homework in which she had to identify isosceles triangles.
		Mathworld says that an equilateral triangle is a special case of an isosceles triangle.
		Of trilateral figures, an equilateral triangle is that which has its three sides equal, an isosceles triangle that which has two of its sides alone equal, and a scalene triangle that which has its three sides unequal.
	ask.metafilter.com /15865/Does-isosceles-subsume-equilateral (1305 words)

	isosceles - Search Results - MSN Encarta
		A triangle is scalene if no two of its sides are equal in length, as in Fig.
		1; isosceles if two sides are equal, as in Fig.
		Geometry, like most other sciences, advanced little from the fall of the Roman Empire in the 5th century ad to the end of the Middle Ages in the 15th...
	encarta.msn.com /isosceles.html (159 words)

	section5
		Proof We are given the fact that ABC is an isosceles triangle e.g.
		Theorem 5.3 In an isosceles triangle a median falling from the vertex angle is also the bisector of the vertex angle and the altitude falling from the vertex angle.
		If the perimeter of an isosceles triangle is equal to 20 inches and the base side is equal to 10 inches, find the length of one of the two equal sides of this triangle.
	www.math.psu.edu /geom/koltsova/section5.html (781 words)

	Three Isosceles Triangles
		Thus I shall interpret all vertices and points of intersection as complex numbers in the plane of the diagram with an arbitrarily chosen origin.
		Which implies that the theorem remains valid if isosceles triangles are replaced with similar ones.
		Such a generalization has been suggested by Nathan Bowler who also supplied a very simple synthetic proof of the latter (and hence of the current theorem.) Nathan also came up with further generalization wherewith the third triangle is formed for any point X' on BX and any point Y' on BY.
	www.cut-the-knot.org /Curriculum/Geometry/ThreeIsoscelesTriangles.shtml (411 words)

	What does isosceles mean? - Blurtit
		When the term isosceles is used in reference to a trapezoid, it would mean that the trapezoid has its two nonparallel sides of equal length.
		An isosceles triangle is a type of triangle classified on the basis of the lengths of its sides.
		The term isosceles has its roots in the Late Latin term isosceles, meaning having two equal sides; it is from the Greek term isoskeles: a break up of is- + skelos meaning leg.
	www.blurtit.com /q268493.html (220 words)

	Chapter Two
		The leg of an isosceles triangle are the two congruent sides.
		The base angles of an isosceles triangle are the two angles formed by the base and one of the congruent sides.
		The vertex angle of an isosceles triangle is the angle formed by the congruent sides of the triangle.
	pages.cthome.net /jfleary/2gnf4/2gn4c4/2gn4(4-5).htm (154 words)

	classifying triangles (Site not responding. Last check: )
		Equilateral triangles are a subset of isosceles triangles, because every equilateral triangle is also isosceles (though some isosecles triangles are equilateral and some are not).
		Isosceles and Scalene triangles are disjoint sets--they don't overlap at all because a triangle can never be both isosceles and scalene.
		Try it with this applet, and see if you find one that works (remember, to be isosceles, two sides must be the same length, and to be right, one angle must be 90°).
	www.uwrf.edu /~ll63/ElEd/Geom/shapes/T2notes.html (451 words)

	Moosepuppy medical reports
		Isosceles wanted to take a nap after all that work, but Hercules was still very excited and kept expressing himself in a manner that was not good for Isosceles's hip.
		She said Isosceles definitely does have dysplasia and arthritis in his hip, but she wondered whether the sudden onset of severe pain might indicate he also has a tear in his cruciate ligament.
		She and Isosceles had a good time together, but I couldn't get her to pay attention to me. We talked to the shelter worker who temperament-tests the dogs and teaches obedience classes.
	web.syr.edu /~jisincla/moosereports.html (4811 words)

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