Mathematics

Grade9

Easy

Question

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

What is the possible measure of MP?

- < 48
- > 48
- = 48
- > 50

Hint:

### Find the range for x using the Hinge's theorem and then obtain the range for the length of a side.

## The correct answer is: < 48

### Given That:

>>> Using Hinge's Theorem:

MP>MN

4x+12>5x+3

x>9.

>>> Then, the length of MP = 4x+12 = 4(9)+12= 48

>>>Therefore, the length of MP>48.

Therefore, the length of MP>48.

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