Question

Based on the diagram above, a student determined the hypotenuse of the triangle to be 6√3. Determine if the student's answer is correct. If it is not correct, find the correct length.

A. Yes, the student's answer is correct.
B. No, the hypotenuse should be 12√3
C. No, the hypotenuse should be 6√2
D. No, the hypotenuse should be 12.

Answer 1

Answer: D

Explanation:

This is a 30, 60 and 90 triangle. The side opposite of 30 degrees is 6,

the side opposite of the 90 degree ( the longest side or hypotenuse) is 2 times 6 or 12.