Question

In the 30-60-90 triangle below, side s has a length of _____ and the hypotenuse has a length of _____.

Answer 1

C and D.
Hypotenuse is two times as long as the short leg. And the long leg is 3 times as long as the short leg.

Answer 2

Option A and C are correct

The hypotenuse is twice as long as length as the shorter leg.

The longer leg is
`√(3)` times as long as the shorter leg.

Explanation:

Definition:

A 30-60-90 triangle is commonly a right angle triangle whose sides are in proportion
`1 : √(3) : 2`

then;

the length of hypotenuse is twice the length of the shorter leg and the length of the longer leg is
`√(3)` times the length of the shorter leg.

As per the statement:

We have to find the statements that are true about a 30-60-90 triangle.

By definition of 30-60-90 triangle;

Length of hypotenuse is twice the length of the shorter leg

and

Length of the longer leg is
`√(3)` times the length of the shorter leg.