Question

the hypotenuse of a 45° - 45° - 90° triangle measures 4 cm. what is the length of one leg of the triangle? 2 cm 2√2 cm 4 cm 4√2 cm

Explanation:

Step1: Relate hypotenuse and leg

Let leg length be \( l \). Hypotenuse \( h = l\sqrt{2} \). Given \( h=4 \), so \( 4 = l\sqrt{2} \).

Step2: Solve for leg length

\( l = \frac{4}{\sqrt{2}} = 2\sqrt{2} \) (rationalizing denominator).

Answer:

B. \( 2\sqrt{2} \) cm