Mathematics

Grade9

Easy

Question

# Use the Hinge theorem and its converse and solve the following

What is the possible measure of MN, if MP = 20?

- 13
- 12
- 11
- 14

Hint:

### Evaluate for x and then obtain the length of the required side.

## The correct answer is: 13

### Given That:

>> The length of MP = 20

4x + 12 = 20

X = 2

>>> The length of MN = 5x + 3

= 5(2) + 3 = 13

>>>> Therefore, the length of MN is 13 units.

The length of MN = 5x + 3

= 5(2) + 3 = 13

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