Question

chapter 5 review
question 10, 5.1.39
find the value of x.

Explanation:

Step1: Use the mid - segment theorem

The mid - segment of a triangle is parallel to the third side and half its length. Here, the segment of length \(22\) is a mid - segment. Let's assume the side parallel to it is \(y\). Then \(y = 2\times22=44\).

Step2: Use the property of another mid - segment

The segment of length \(27\) is also a mid - segment. Let the side parallel to it be \(z\). Then \(z = 2\times27 = 54\).

Step3: Find the value of \(x\)

We know that \(x\) is related to the sides formed by the mid - segments. If we consider the triangle, \(x=44 + 54\).

Answer:

\(x = 98\)