Question

find the value of x.
$x=\square$ (simplify your answer.)

Explanation:

Step1: Apply Midsegment Theorem

The segment labeled 38 is the midsegment of the triangle formed by sides 68, 82, and $x$. By the Midsegment Theorem, the midsegment length is half the length of the third side, so $38 = \frac{x}{2}$.

Step2: Solve for x

Multiply both sides by 2 to isolate $x$.
$x = 38 \times 2$

Answer:

76