Question

What is the length of the hypotenuse in a 45-45-90 triangle that has a leg length of √7?

Answer 1

a. 7
b. 2√7
c. √21
d. √14

Answer 2

if you have the 45 45 90 with hypothenuse=1 the legs would be sqrt(2)/2, so you multiply sqrt(2)/2 by x to get the leg of length sqrt(7):
sqrt(2)/2 times x = sqrt(7)
x = sqrt(14)
now to keep te ratio of the triangle you multimply all of the sides by x:
1 times x = 1 times sqrt(14) = sqrt(14)

Answer 3

they are similar triangles