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

D) No, the hypotenuse should be 12.

Explanation:

Hypotenuse is the side opposite to the 90 degrees angle.

'6' is the opposite side to the given angle i.e. it is opposite from angle 30 degrees.

Step 1: Use the sin formula to find the hypotenuse.

Sin (angle) = opposite/hypotenuse

Step 2: Substitute the values in the formula

Sin (30) = 6/hypotenuse

1/2 = 6/hypotenuse

hypotenuse = 6x2

hypotenuse = 12

Therefore, the answer is option D; No, the hypotenuse should be 12.

!!