SOLUTION: Find the exact length of the unknown sides of the following 45-45-90 triangle. The hypotenuse measures 8 ft. Select one: a. 4 ft, 4 ft b. 4√2 ft, 4√2 ft c. 2 f

Algebra ->  Angles -> SOLUTION: Find the exact length of the unknown sides of the following 45-45-90 triangle. The hypotenuse measures 8 ft. Select one: a. 4 ft, 4 ft b. 4√2 ft, 4√2 ft c. 2 f      Log On


   



Question 1079021: Find the exact length of the unknown sides of the following 45-45-90 triangle.
The hypotenuse measures 8 ft.
Select one:
a. 4 ft, 4 ft
b. 4√2 ft, 4√2 ft
c. 2 ft, 2 ft
d. 8√2 ft, 8√2 ft

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the length of a side of the isosceles right triangle
:
x^2 + x^2 = 8^2 = 64
:
2x^2 = 64
:
x^2 = 32
:
x = square root(16 * 2) = 4 * square root(2)
:
answer is b.
: