The length of hypotenuse of a 45 -45 -90 triangle is 16 cm what is the length of each leg

Answer 1

The ratio of the leg and the hypotenuse of a 45-45-90 triangle is square root of 2. If you know the leg, multiply by the square root of 2 to find the hypotenuse. If you know the hypotenuse, divide by the square root of 2 to find the leg.

Answer 2

the length of the hypotenuse of a 45-45-90 triangle is always the length of a leg times √2

let x=length of a leg

√2x=16

x=16/√2

x=16√2/2

x=8√2 cm

you could also use the Pythagorean Theorem

x^2+x^2=16^2

2x^2=256

x^2=128

√x^2=√128

x=√(2*64)

x=8√2 cm