Question

What are the lengths of the other two sides of the

triangle?
A
O AC = 5 and BC = 5
60°
10
O AC = 5 and BC = 5V5
* AC = 55 and BC = 5
30°
O AC = 5 and BC = 53
B

Answer 1

D

Explanation:

Please refer to the attachment below.

We have a 30-60-90 triangle.

Hence, the ratios of the sides will be related as shown in the triangle below.

Let’s determine the value of x. In a 30-60-90 triangle, the hypotenuse is 2x.

Here, our hypotenuse is 10.

Then it follows that:

`10=2x\Rightarrow x=5`

The side opposite to ∠A (60) is CB.

And it is x√3.

Hence, CB is 5√3.

The side opposite to ∠B (30) is AC.

And it is x.

Hence, AC is 5.

Therefore, AC is 5 while BC is 5√3.

Hence, our answer is D.