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If Triangle PML ~ Triangle TRQ, find QR.

If Triangle PML ~ Triangle TRQ, find QR.-example-1
User Adam Young
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1 Answer

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Given that Triangle PML ~ Triangle TRQ, the length of QR is 16 units. ​​

How do we find the length of QR if PML and TRQ are similar triangles?

Since the triangles PML and TRQ are similar, the corresponding sides are proportional.

This means that PM/TR = ML/QR
35/14 = (7x−9)/(2x+2)
35(2x+2) = 14(7x−9)

70x + 70 = 98x − 126
70+126 = 98x−70x

196 = 28x
x = 7

Substitute 7 into the equation for QR

QR = 2(7) + 2 = 16

Therefore, the length of QR for triangle TRQ is 16 units.

User Cloe
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