High School

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In the diagram below of triangle KLM, N is the midpoint of KM and O is the midpoint of LM. If NO equals \(3 + 7x\) and KL equals \(4x + 16\), what is the measure of NO?

Answer :

If O is the midpoint of LM and N is the midpoint of KM then the measure of NO is 10.

What are Linear equations?

Linear equations are a combination of constants and variables where the value of the variable is calculated using mathematical operations.

We have given that Triangle KLM, N is the midpoint of KM and O is the midpoint of LM if NO equals 3+ 7X and KL equals 4X +16, we are supposed to find the measure of NO.

Using the Midpoint theorem, we can say that in Triangle KLM;

NO = KL / 2

Substituting values,

3+ 7X = 4X +16/ 2

3+ 7X = 2X + 8

7x - 2x = 8 - 3

5x = 5

x = 1

NO = 3+ 7X

NO = 3+ 7(1) = 10

NO equals 10

Hence the measure of NO is 10.

To learn more about linear equations, click the link below:

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