Question

write the equation you would set up to solve this problem. do not solve.

Explanation:

Step1: Identify triangle type

It's a right triangle with hypotenuse \( 67 \, \text{mm} \), one leg \( 31 \, \text{mm} \), and another leg \( x \).

Step2: Apply Pythagorean theorem

The theorem states \( a^2 + b^2 = c^2 \), where \( c \) is hypotenuse, \( a, b \) are legs. So \( 31^2 + x^2 = 67^2 \).

Answer:

\( 31^2 + x^2 = 67^2 \)