Difference between revisions of "Isosceles triangle"
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An '''isosceles triangle''' is a [[triangle]] in which ''at least'' two [[edge]]s have equal [[length]]. Equivalently, an isosceles triangle is one in which ''at least'' two [[angle]]s have equal [[measure]]. [[Equilateral triangle]]s are a special class of isosceles triangles in which all three sides and [[angle]]s are equal. | An '''isosceles triangle''' is a [[triangle]] in which ''at least'' two [[edge]]s have equal [[length]]. Equivalently, an isosceles triangle is one in which ''at least'' two [[angle]]s have equal [[measure]]. [[Equilateral triangle]]s are a special class of isosceles triangles in which all three sides and [[angle]]s are equal. | ||
| − | Every isosceles triangle has reflectional [[symmetry]]. The axis of symmetry passes through the vertex which is shared by the edges of equal length, and it is also the triangle's [[median]], [[altitude]], and [[angle bisector]] of that vertex. | + | Every isosceles triangle has reflectional [[symmetry]]. The axis of symmetry passes through the vertex which is shared by the edges of equal length, and it is also the triangle's [[median]], [[altitude]], and [[angle bisector]erw] of that vertex. |
{{asy image|<asy>draw((0,0)--(1,0)--(0.5,0.5)--cycle);</asy>|right|An isosceles triangle.}} | {{asy image|<asy>draw((0,0)--(1,0)--(0.5,0.5)--cycle);</asy>|right|An isosceles triangle.}} | ||
==See Also== | ==See Also== | ||
Revision as of 20:08, 13 October 2016
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An isosceles triangle is a triangle in which at least two edges have equal length. Equivalently, an isosceles triangle is one in which at least two angles have equal measure. Equilateral triangles are a special class of isosceles triangles in which all three sides and angles are equal.
Every isosceles triangle has reflectional symmetry. The axis of symmetry passes through the vertex which is shared by the edges of equal length, and it is also the triangle's median, altitude, and [[angle bisector]erw] of that vertex.
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![[asy]draw((0,0)--(1,0)--(0.5,0.5)--cycle);[/asy]](http://latex.artofproblemsolving.com/7/9/c/79c4904ff735bf765ca842cac6dc281aaf455e43.png)
