Question

A 45- 45- 90 triangle has a hypotenuse of length 18 units. What is the length of one of the legs? If necessary, round your answer to two decimal places.

Answer 1

18^2=x^2+x^2
cause we have two 45 angles .
therefore 2x^2 =18^2 so x^2 =324÷2=162 so x=12.8

Answer 2

A 45-45-90 triangle would have legs that are of the same length (x) and the hypotenuse would be x times the square root of 2.

We can make an equation and solve for x:
$x \sqrt{2} = 18$
Divide both sides by sqrt{2} to have (approximately):
x = 12.73