Question

find the value of x.
x =

Explanation:

Step1: Apply the mid - segment theorem

The mid - segment of a triangle is parallel to the third side and half its length. Here, the mid - segment length is \(x + 9\) and the third side length is \(58\). So, \(x+9=\frac{58}{2}\).

Step2: Solve the equation

$$
LATEXBLOCK0
$$

Answer:

\(x = 20\)