Question

In a 30-60-90 triangle, the length of the hypotenuse is 30. Find the length of the shorter leg

A. 15
B. 10 square root of 3
C.15 square root of 2
D.15 square root of 3

Answer 1

Answer: 15 squareroot 3

Explanation:

shortest side is half of the hypotenuse times the squareroot of 3; =15 squareroot 3

Answer 2

Option A is right

Explanation:

Given is a triangle (right angled) with other degrees as 30 and 60.

The length of hypotenuse = 30

We have to find the length of shorter leg.

We know that in a 30-60-90 triangle, the length of shorter side is always half the length of the hyptenuse.

In 30-60-90 triangle, opposite side of smaller angle/hypotenuse =1/2

Using the above we get

the shorter side = 1/2 (hypotenuse) = 1/2(30) = 15

Hence answer is 15