Question

If a 45 degree 45 degree 90 degree triangle has a hypotenuse length of 12 find the leg length

Answer 1

Leg length = 8.5

Explanation:

let x represent the leg length

if we use the Pythagorean theorem we get:

x² + x² = 12²

then

2x² = 12²

Then

x² = 144/2 = 72

then

x = √(72)

=8,485281374239