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Example Questions
Example Question #41 : Plane Geometry
Two sides of an isosceles triangle have lengths 3 feet and 4 feet. Which of the following could be the length of the third side?
An isosceles triangle, by definition, has two sides of equal length. Having the third side measure either 3 feet or 4 feet would make the triangle meet this criterion.
3 feet is equal to inches, and 4 feet is equal to
inches. We choose 36 inches, since that, but not 48 inches, is a choice.
Example Question #1 : How To Find The Length Of The Side Of An Acute / Obtuse Isosceles Triangle
The triangles are similar. Solve for .
Because the triangles are similar, proportions can be used to solve for the length of the side:
Cross-multiply:
Example Question #1 : Acute / Obtuse Isosceles Triangles
One of the base angles of an isosceles triangle is . Give the measure of the vertex angle.
The base angles of an isosceles triangle are always equal. Therefore both base angles are .
Let the measure of the third angle. Since the sum of the angles of a triangle is
, we can solve accordingly:
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All ISEE Upper Level Math Resources
