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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