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Topic: Obtuse triangle


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In the News (Tue 18 Jun 19)

  
  Triangle (Geometry) - LoveToKnow Watches
TRIANGLE, in geometry, a figure enclosed by three lines; if the lines be straight the figure is called a plane triangle; but if the figure be enclosed by lines on the surface of a sphere it is a spherical triangle.
The three sides and angles constitute the six elements of a triangle; it is customary to denote the angular points by capital letters and refer to the angles by these symbols; the sides are usually denoted by the lower case letter corresponding to that of the opposite angular point.
We may here notice that the perpendiculars from the vertices of a triangle to the opposite sides are concurrent ; their meet is called the orthocentre, and the triangle obtained by joining the feet of the perpendiculars is called the pedal triangle.
www.1911encyclopedia.org /Triangle_(Geometry)   (853 words)

  
 Triangle - Wikipedia, the free encyclopedia
A triangle is one of the basic shapes of geometry: a polygon with three vertices and three sides which are straight line segments.
A median of a triangle is a straight line through a vertex and the midpoint of the opposite side, and divides the triangle into two equal areas.
The area S of a triangle is S = ½bh, where b is the length of any side of the triangle (the base) and h (the altitude) is the perpendicular distance between the base and the vertex not on the base.
en.wikipedia.org /wiki/Triangle   (2182 words)

  
 VIAS Encyclopedia: Triangle - General Definitions   (Site not responding. Last check: 2007-10-22)
The sides of the triangle are labeled by lowercase letters, corresponding to the particular opposite vertex.
An equilateral triangle is a triangle with all sides being equal.
If two sides of a triangle are equal but different to the third side, this triangle is called an isosceles triangle.
www.vias.org /encyclopedia/geom_triangle.html   (215 words)

  
 Triangle   (Site not responding. Last check: 2007-10-22)
The [[Circumcenter is the centre of a circle passing through the three vertices of the triangle.]] A perpendicular bisector of a Triangle is a straight line passing through the midpoint of a side and being perpendicular to it, i.e.
The [[Centroid is the center of gravity.]] A median of a Triangle is a straight line through a vertex and the midpoint of the opposite side, and divides the Triangle into two equal areas.
The area S of a Triangle is S = ½''bh'', where b is the length of any side of the Triangle (the base) and h (the altitude) is the perpendicular distance between the base and the vertex not on the base.
triangle.iqnaut.net   (1965 words)

  
 Types Of Triangles
An acute triangle is a triangle whose angles are all acute (i.e.
Besides classifying types of triangles according to the size of its angles as above: right triangles, acute triangles and obtuse triangles; types of riangles can also be classified according to the length of its sides.
We've looked at classifying types of triangles according to the size of its angles: right triangles, acute triangles and obtuse triangles; and also covered types of triangles according to the length of its sides: equilateral triangles, isosceles triangles and scalene triangles.
www.onlinemathlearning.com /types-of-triangles.html   (725 words)

  
 Triangle   (Site not responding. Last check: 2007-10-22)
Triangles are classified according the length of their sides and the measures of their angles.
An obtuse triangle is a triangle with 1 obtuse angle (an angle that measures more than 90° and less than 180°).
An equiangular triangle is a triangle in which all 3 angles are congruent.
www.necompact.org /ea/gle_support/Math/resources_geometry/triangle.htm   (140 words)

  
 Figures and polygons
The sum of the angles of a triangle is 180 degrees.
One of the angles of the triangle measures 90 degrees.
A right triangle has the special property that the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse.
www.mathleague.com /help/geometry/polygons.htm   (610 words)

  
 Triangle   (Site not responding. Last check: 2007-10-22)
For instance, a triangle with no congruent sides is a scalene triangle; a triangle with two congruent sides is an isosceles triangle; a triangle with three congruent sides is an equilateral triangle.
For instance, a triangle with three acute interior angles is an acute triangle; a triangle with one obtuse interior angle is an obtuse triangle; a triangle with one right interior angle is a right triangle; a triangle with three congruent interior angles is an equiangular triangle.
One property of a triangle is that the sum of the measures of the three interior angles is always 180 degrees (or pi radians).
www.gomath.com /htdocs/lesson/triangle_lesson1.htm   (224 words)

  
 Triangle
The orthocenter lies inside the triangle if and only if the triangle is not obtuse.
If any four of a triangle's elements (vertices, and/or elements of its sides) are plane to each other, the triangle is called plane.
Geometers also study non-planar triangles in noneuclidean geometries, such as spherical triangles in spherical geometry and hyperbolic triangles in hyperbolic geometry.
www.brainyencyclopedia.com /encyclopedia/t/tr/triangle.html   (2205 words)

  
 All Elementary Mathematics - Study Guide - Geometry - Triangle...   (Site not responding. Last check: 2007-10-22)
A triangle ABC is an isosceles triangle (Fig.23), if the two of its sides are equal (a = c); these equal sides are called lateral sides, the third side is called a base of triangle.
In an acute-angled triangle this point lies inside of the triangle; in an obtuse-angled triangle - outside of the triangle; in a right-angled triangle - in the middle of the hypotenuse.
In a right-angled triangle a square of the hypotenuse length is equal to a sum of squares of legs lengths.
www.bymath.com /studyguide/geo/sec/geo7.htm   (901 words)

  
 Untitled Document   (Site not responding. Last check: 2007-10-22)
Obtuse angle - Obtuse angles are angles that are measured between 90° and 180°.
Triangles — A triangle is a three-sided polygon.
An obtuse angle is a an angle that is between 90° and 180°.
www.promotega.org /uga05004/fcp_glossary.html   (2013 words)

  
 Area of a Triangle
However, depending on the triangle, the height may or may not be a side of the triangle.
For example, in the right triangle in Example 2, the height is a side of the triangle since it is perpendicular to the base.
In the triangles in Examples 1 and 3, the lateral sides are not perpendicular to the base, so a dotted line is drawn to represent the height.
www.mathgoodies.com /lessons/vol1/area_triangle.html   (520 words)

  
 Cool math .com - Types of Triangles
In the equilateral triangle, all the sides are the same length (congruent) and all the angles are the same size (congruent).
The isosceles triangle (I can NEVER remember how to spell isosceles) has two sides that are the same length (congruent) and two angles that are the same size (congruent).
Obtuse triangles have one angle that is greater than 90 degrees.
www.coolmath.com /reference/triangles-types.html   (249 words)

  
 Triangle - Simple English Wikipedia
Triangles can be grouped according to how long their sides are
An obtuse triangle has one angle that is larger than 90 degrees (an obtuse angle)
A acute triangle has angles that are all less than 90 degrees (acute angles)
simple.wikipedia.org /wiki/Triangle   (168 words)

  
 Triangles
Triangles can be classified according to the length of their sides and the size of their angles.
All angles of an equilateral triangle are 60°.
The side of the isosceles triangle that has a different length is said to be the base of the triangle.
www.mathsteacher.com.au /year7/ch09_polygons/01_triangle/tri.htm   (343 words)

  
 triangle
The characteristic triangle is the triangle with infinitesimal sides dx, dy and ds.
In probability theory the triangle diagram, is used, a way to express the a function of three variables, in a triangle grid.
the 'brown triangle' is the region of Munich, Nuremberg and Berchtesgarden in Germany, bastion of the brown-clothed nazis
www.2dcurves.com /line/linet.html   (1156 words)

  
 The Triangle Figure
When she placed an acute scalene triangle next to me on her desk, I remembered times as a student that I was asked to sketch an acute scalene triangle to investigate some triangle property.
Any triangle in a pencil of triangles can be referred to by its third vertex, the one not incident with the base of the pencil.
These two reflections may be used to generate a total of four congruent triangles within the same pencil, as long as the third vertex of the initial triangle is not on either of the lines of reflection.
www.math.clemson.edu /~rsimms/triangle   (1573 words)

  
 All about altitudes
In a triangle, an altitude is a segment of the line through a vertex perpendicular to the opposite side.
Thus, the fact that, in a triangle, angle bisectors are concurrent, implies the fact that altitudes in a triangle are also concurrent.
H is an angle bisector in the orthic triangle.
www.cut-the-knot.org /triangle/altitudes.shtml   (1337 words)

  
 SparkNotes: Special Triangles: Classifying Triangles
When triangles are classified according to the lengths of their sides, they fit into one of three categories: scalene, isosceles, or equilateral.
When triangles are classified by their angles, they fit into one of four categories: acute, obtuse, right, or equilateral.
If a triangle has one obtuse angle (remember that one is the maximum number of obtuse angles a triangle can have), it is an obtuse triangle.
www.sparknotes.com /math/geometry2/specialtriangles/section1.html   (376 words)

  
 Triangles
An equiangular triangle is a kind of acute triangle, and is always equilateral.
An obtuse triangle may be isosceles or scalene.
triangle, in mathematics - triangle, in mathematics, plane figure bounded by three straight lines, the sides, which intersect...
www.factmonster.com /ipka/A0876325.html   (268 words)

  
 Obtuse - Wikipedia, the free encyclopedia
Obtuse angle, an angle of more than 90 degrees
Obtuse triangle, a triangle with an internal angle of more than 90 degrees
This is a disambiguation page: a list of articles associated with the same title.
en.wikipedia.org /wiki/Obtuse   (91 words)

  
 Lesson Plans
Triangles can be classified by side (scalene, isosceles, equilateral) or by angle (acute, right, obtuse).
Elicit from the class the side measurements of one triangle that is obtuse and another that is acute.
Elicit from the class which obtuse triangles they tested and if squaring accurately predicted their classification.
www.wnet.org /edonline/ntti/resources/lessons/m_picking/b.html   (2263 words)

  
 Geometry Session 2: Homework
If you think they are congruent, try to draw a triangle that fits the description but is not congruent.
You have already seen the SSS (side-side-side) congruence test for triangles: If the three sides of one triangle have the same lengths as the three sides of another triangle, then the two triangles are congruent.
That is, if the three angles of one triangle have the same measures as the three angles of another triangle, are the two triangles necessarily congruent?
www.learner.org /channel/courses/learningmath/geometry/session2/part_h/homework.html   (425 words)

  
 Triangle Partition   (Site not responding. Last check: 2007-10-22)
If it were true that any triangle could be partitioned into acute triangles then any polygon that could be triangulated with non-obtuse triangles could be further partitioned into acute triangles.
The remaining triangle, triangle ADC has two angles that are at most 45º and one angle that is at least 90º.
If the triangle is "flatter" you will need to make CD shorter so that triangles all sort of "bunch together" near C, and so every triangle is acute.
mcraefamily.com /MathHelp/PuzzleTrianglePartitionAnswer.htm   (849 words)

  
 PinkMonkey.com Geometry Study Guide - 2.3 Types of triangles
Triangles are classified into various types, using two different parameters - the lengths of their sides and the measure of their angles.
A special case of an acute triangle is when all the three acute angles are equal.
Obtuse triangle : A triangle in which one of the angles is obtuse is called as an obtuse triangle.
www.pinkmonkey.com /studyguides/subjects/geometry/chap2/g0202301.asp   (263 words)

  
 [No title]
Triangles can be grouped by their sides or their angles.
A triangle with one obtuse angle is called an obtuse triangle.
acute angle acute angles acute triangle acute triangles complementary angle complimentary angles corresponding angle corresponding angles exterior angle exterior angles interior angle interior angles straight angle straight angles supplementary angle supplementary angles obtuse angle obtuse angles vertical angle vertical angles 3.
www.palmbeach.k12.fl.us /multicultural/ESOLCurriculumDocs/Secondary/MSMathU22.DOC   (2671 words)

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