Question

Find the value of X. Write your answer in simplest form.What does X equal? ​

Answer 1

Given:

Given that the figure of similar triangles.

The altitude of the triangle is x.

The length of the left part is 30.

The length of the right part is 15.

We need to determine the value of x.

Value of x:

The value of x can be determined using the geometric mean theorem.

Thus, we have;

$\frac{\text { left }}{\text { altitude }}=\frac{\text { altitude }}{\text { right }}$

Substituting the values, we have;

$\frac{30}{x}=\frac{x}{15}$

Cross multiplying, we get;

$30 \times 15= x^2$

     $450=x^2$

Taking square root on both sides, we have;

$15 \sqrt{2}=x$

Thus, the value of x is 15√2