Question

In a triangle ABC , PQR are midpoints Area of triangle PQR=16 cm square then find the area of ABC

Answer 1

Answer:

Step-by-step explanation:as you know midpoint theorem

According to that:

Area of triangle PQR ×4

16×4

=64cmsq

Thank you and it may help you

Answer 2

Solution:-

The area of triangle ABC will be 64 cm²

We know that the area of a triangle is proportional to square of its sides,

since P is the midpoint of AB,

=> AP/AB = 1/2

Also ΔPQR is similar to ΔABC

=> PQ/AB = 1/2

Also,

Area of ΔPQR/Area of ΔABC = PQ²/AB²

=> 16/Area of ΔABC = 1/4

=> Area of ΔABC = 16 x 4 = 64 cm²

Hence the area of triangle ABC will be 64 cm²

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@GauravSaxena01