Question

What is the extended ratio relating the side lengths of a 30-60-90 triangle?

A. x:x2–√:3x
B. x:x3–√:2x
C. x:x:x3–√
D. x:x:x2–√

Answer 1

x:2x:√3x.

Explanation:

I would write it as x:2x:√3x.

The hypotenuse is twice the length of the shorter leg and the longer leg is the square root of 3 times the shorter leg.

Answer 2

The correct option is A) x : 2x : x√3

Explanation:

Consider the provided information.

For a 30-60-90 triangle.

The side opposite to the 30° angle is x.

The side opposite the 60° angle is √3 x.

The side opposite the 90° angle is 2 x.

Side opposite to the 30° angle is the smallest side as 30° is the smallest angle among 30-60-90. Similarly the side opposite of 60° is the second largest side as 60° is the second largest angle and for the side opposite of 90° is the largest side as 90° is the largest angle.

Hence, the correct option is A) x : 2x : x√3