Question

In the figure in ∆ PQR,point x is the midpoint os sidePQ,seg XZ || side QR and seg xy || side pq.pq=20cm.find yz




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Answer 1

Answer:

Given: x,y and z are the mid-point of the sides PQ,QR and RP of ΔPQR,xy and xz are joined.

Prove: XYRZ is a parallelogram.

In PQR,x,y, and z are the mid-point of PQQR and RP respectively.

XY∣∣PR (mid-point theorem)

XY=

2

1

PR (mid-point theorem)

ZR=

2

1

PR (Given)

Therefore, XYRZ is a Parallelogram (One pair of opposite sides parallel and equal)

Hence proved.