Question

find z.
right triangle with right angle, two 45° angles, hypotenuse 14√2 m, one leg z
write your answer in simplest radical form.
blank meters

Explanation:

Step1: Identify triangle type

This is a 45-45-90 triangle, so legs are equal, hypotenuse \( h = l\sqrt{2} \) (where \( l \) is leg length).

Step2: Relate hypotenuse to leg

Given hypotenuse \( 14\sqrt{2} = z\sqrt{2} \).

Step3: Solve for \( z \)

Divide both sides by \( \sqrt{2} \): \( z = \frac{14\sqrt{2}}{\sqrt{2}} = 14 \).

Answer:

14