Question

chapter 5 review
question 7, 5.1.23
find the value of x.

x =

Explanation:

Step1: Apply the midsegment theorem

The midsegment of a triangle is parallel to the third side and half its length. Here, the midsegment length is \(x + 3\) and the third - side length is \(22\). So, we have the equation \(2(x + 3)=22\).

Step2: Solve the equation

First, divide both sides of the equation \(2(x + 3)=22\) by \(2\):
\(\frac{2(x + 3)}{2}=\frac{22}{2}\)
\(x + 3 = 11\)
Then, subtract \(3\) from both sides:
\(x+3 - 3=11 - 3\)
\(x = 8\)

Answer:

\(8\)