SOLUTION: An isosceles right triangle has two 45° angles. The sides opposite those angles are equal in length Find the length of each of the equal sides if the length of the hypotenuse is

Algebra ->  Triangles -> SOLUTION: An isosceles right triangle has two 45° angles. The sides opposite those angles are equal in length Find the length of each of the equal sides if the length of the hypotenuse is      Log On


   

Question 369334: An isosceles right triangle has two 45° angles. The sides opposite those angles are equal in length
Find the length of each of the equal sides if the length
of the hypotenuse is 1.
Answer by acalgebra(30) About Me  (Show Source):
You can put this solution on YOUR website!
The hypotenuse is c, and the legs are a and b:

a%5E2%2Bb%5E2=c%5E2
a%5E2%2Ba%5E2=1
2a%5E2=1
a%5E2=1%2F2
a=sqrt%281%2F2%29