Question

In the figure MN is a midsegment of JKL. Find the value of X

Answer 1

Answer:

x = 9

Step-by-step explanation:

Here, we want to find the value of x

To do this, we are going to use the similar triangles principle

When two triangles are similar, the ratio of their corresponding sides are the same

The two similar triangles we shall be using are;

LMN and LJK

Thus, we have it that;

x/8.5 = x+ 9/17

17x = 8.5(x + 9)

17x = 8.5x + 76.5

17x - 8.5x = 76.5

8.5x = 76.5

x = 76.5/8.5

x = 9