Question

the hypotenuse of a 45 - 45 - 90° triangle measures 18 cm. what is the length of one leg of the triangle? 9 cm 9√2 cm 18 cm 18√2 cm

Explanation:

Step1: Recall 45 - 45 - 90 ratio

In a 45 - 45 - 90 triangle, if leg length is $a$, hypotenuse $c = a\sqrt{2}$.

Step2: Solve for leg length

Given $c = 18$, then $a=\frac{c}{\sqrt{2}}=\frac{18}{\sqrt{2}} = 9\sqrt{2}$.

Answer:

$9\sqrt{2}\text{ cm}$