Question

find z.
image of a right triangle with a right angle, one acute angle 45°, the other acute angle 45°, the leg adjacent to the 45° angle is 16 mi, and the hypotenuse is z
write your answer in simplest radical form.
blank miles
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Explanation:

Step1: Identify triangle type

This is a 45-45-90 triangle, so legs are equal, hypotenuse \( z = \text{leg} \times \sqrt{2} \).

Step2: Apply formula

Leg length is 16 mi, so \( z = 16\sqrt{2} \).

Answer:

\( 16\sqrt{2} \)