Question

Which of the following could be the lengths of the sides of a 30°-60°-90° triangle?

A. (1/2) , (square root of 3/2) , square root of 2
B. 3 square root of 2 , 3 square root of 2, 6
C. square root of 3, 3, 2 square root of 3
D. 3, 4 , 5

Answer 1

The lengths of the sides of a 30°-60°-90° triangle are (1/2), (√3/2), √2.

Step-by-step explanation:

A 30°-60°-90° triangle is a special type of right triangle where the angles are in the ratio of 1:2:3. The longest side opposite the 90° angle is twice the length of the shorter side. The shorter side opposite the 30° angle is half the length of the longest side. The side opposite the 60° angle is the square root of 3 times the length of the shorter side.

From the given options, the lengths of the sides of a 30°-60°-90° triangle are:

A. (1/2), (√3/2), √2

Answer 2

I think the answer is D .