Question

In the right triangle what is the value of X? 30 24 X

Answer 1

x = 21

Explanation:

Given the angle measurements of two angles, we can deduce that this is a 30-60-90 triangle. The formula for side lengths of this type of triangle is given by s → s√3 → 2s with s being the shortest side (the side opposite the 30° angle).

We are looking for the side length represented by s
`√(3)`. We can see that the hypotenuse is represented by 2s, so...

2s = 24

s = 12

The side length of the shortest side is 12. Therefore, we can say that

x = s
`√(3)`

x = 12 *
`√(3)`

x = 20.785

The question asks for our answer to the nearest whole number, so

x = 21