Question

In the given figure, points S, T and U are the midpoints of PQ, QR and PR respectively. Ifpv
QR, then prove that SVTU is a cyclic quadrilateral.

Answer 1

In the given figure, S and T are the mid-points of sides PR and PQ respectively of ΔPQR. If ar (ΔPQR)=48cm

2

, then find ar (ΔTSQ).

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ANSWER

If area of △PQR=48c.m

2

If we consider △QSP, then

area of this triangle is 24c.m

2

because QS is the median, median divide triangle in equal areas,

So, area of △QSP=24c.m

2

Now in △QSP again 'ST' is median

So, area of △QST= half of △QSP=

2

1

ar(△QSP)

∴ ar△QST=12c.m

2

→ option− C

solution

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