Question

question 7 of 10 what is the length of each leg of the triangle below? 45° 32 90° 45° a. 5.6 b. 16√2 c. √32 d. 1 e. 16 f. 4√2

Explanation:

Step1: Identify triangle type

It's a 45-45-90 right triangle with equal legs.

Step2: Relate hypotenuse to leg

Hypotenuse = leg × √2. Let leg = x, hypotenuse = 32. So x√2 = 32.

Step3: Solve for leg length

x = 32/√2 = 16√2 (rationalizing denominator).

Answer:

B. 16√2