Question

find z.
2 cm
45°
45°
z
write your answer in simplest radical form.
□ centimeters

Explanation:

Step1: Identify the triangle type

This is a 45-45-90 right triangle, where the legs are equal and the hypotenuse \( z \) is related to the leg length \( a \) by the formula \( z = a\sqrt{2} \).

Step2: Apply the formula

Given the leg length \( a = 2 \) cm, substitute into the formula: \( z = 2\sqrt{2} \).

Answer:

\( 2\sqrt{2} \)