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CBSE Class 9 Answered

In the figure of PQR, PS and RT are medians and SM||RT. Prove that QM = PQ.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

Proof : In PQR, PS is median

S is the mid-point of QR

In QRT, S is the mid-point of QR and SM||RT

M is the mid-point of QT (mid-point theorem)

i.e. QM = MT

Since T is the mid-point of PQ

i.e., QT = PT

QM + MT = PT

QM + QM = PT

2QM = PT

But PT = PQ,

2QM = PQ

QM = PQ

Answered by | 04 Jun, 2014, 03:23: PM

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