SOLUTION: Story Problem: An isosceles right triangle with legs of length "a". I need to write a formula in simplified radical form for the length of the hupotenuse "c" in terms of "a"

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Question 131851: Story Problem:
An isosceles right triangle with legs of length "a".
I need to write a formula in simplified radical form for the length of the hupotenuse "c" in terms of "a"

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean theorem
Given a right triangle with sides a and b and hypotenuse c
a%5E2+%2B+b%5E2+=+c%5E2+
In the triangle, both sides and b have a length of A
so
A%5E2+%2B+A%5E2+=+c%5E2
2A%5E2+=+c%5E2+
sqrt%282%29%2A+A+=+c+