Question

if ar (triangleABC)=49cm^2and ar (trianglePQR)=25cm^2 and AB=5.6cm,find the length of PQ​

Answer 1

Answer:

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Answer 2

Ar. (△ABC) = 49²cm

Ar. (△PQR) = 25²cm  

AB=5.6cm

For similar triangles, the ratio of areas is equal to the ratio of the square of its sides.

Thus,  

Angle(△PQR)

area(ABC)=  PQ²/area(PQR)=AB²

25²=5.6²/49²=PQ²

31.36×25=PQ²

⇒16=PQ²

PQ=4cm

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