SOLUTION: Triangle XYZ is an isosceles triangle. The length of the base is 10 inches and the height is 12 inches.Find the perimeter of XYZ. Explain how you got your answer.

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Question 186112: Triangle XYZ is an isosceles triangle. The length of the base is 10 inches and the height is 12 inches.Find the perimeter of XYZ. Explain how you got your answer.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

We know to get the Perimeter of a Triangle is by adding the SIDES --->P=X%2BY%2BZ.
To get the dimensions of the 3 sides, given the base & the height, we'll sketch an Isosceles Trianglethe for better illustration:
---->
It clearly shows, we can get the dimension of X and Y by Pythagorean Theorem.
For X: X%5E2=H%5E2%2B5%5E2=12%5E2%2B5%5E2=144%2B25=269
X=sqrt%28169%29=highlight%2813=X%29
Since it's Isosceles Triangle where X=Y, 2 equal sides. It follows---> X=Y=13inches
Therefore, P=X%2BY%2BZ=13%2B13%2B10=highlight%2836inches%29, ANSWER

Thank you,
Jojo