GRE Math : How to find the perimeter of an acute / obtuse isosceles triangle

Study concepts, example questions & explanations for GRE Math

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Example Questions

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Example Question #11 : Triangles

Isos._cont._gre

The obtuse Isosceles triangle shown above has two sides with length  and one side length . The length of side   inches. Side length . Find the perimeter of the triangle. 

Possible Answers:

 inches

 inches

 inches

 inches

 inches

Correct answer:

 inches

Explanation:

To find the perimeter of this triangle, apply the perimeter formula:



Since, , and  then  must have a value of: 

This triangle has two side lengths of  inches, and one side length of  inches. 

Thus, the solution is:

Example Question #12 : Isosceles Triangles

A triangle has two sides with length  and one side length . The length of side   yard. If the length of   the length of side , what is the perimeter of the triangle? 

Possible Answers:

 yard

 yard

 yard

 yard

 yard

Correct answer:

 yard

Explanation:

The first step to solving this problem is that we must find the length of length  Since,  is 4 the length of side , use the following steps: 




Now, apply the formula: 




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