Question

In the diagram below, NO is parallel to KL. If KN = 24, NO = 30, and

KL = 48, find the length of N M.

Answer 1

Answer: NM = 40

Explanation:

First, we will label everything. See attached.

Next, we will set up a proportion to solve. Let the missing side, ? in the picture, be equal to x.

➜ On the left side will be the "smaller top" triangle

➜ On the right side will be the larger triangle

➜ View the second attachment for a visual explanation of this if you are confused.

`\displaystyle (x)/(30)=(x+24)/(48)`

Next, we will cross-multiply and solve.

`\displaystyle (x)/(30)=(x+24)/(48)`

48x = 30(x + 24)

48x = 30x + 720

18x = 720

x = 40