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Question

In ΔPQR,MN||QR and given that PM = 3 cm MQ = 8cm, QR = 32 then MN is (image)

A
4 cm
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B
8.7 cm
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C
12 cm
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D
14 cm
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Solution

The correct option is B 8.7 cm

In ΔPMNandΔPQR,Piscommon,PMN=PQRandPNM=PRQ[correspondinganglepairs]

Hence the triangles are similar by AAA.

So, PMPQ=MNQR311=MN32MN=8.7.


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