Question

in a parallelogram PQRS the area of triangle PQR is 50 cm square find the area of the parallelogram pqrs and the area of triangle or RSP​

Answer 1

Answer:

Step-by-step explanation:

Given,

In a parallegram PQRS ,triangle PQR=50cm square .

Required to prove,

Area of triangle RSP and parallelogram PQRS .

Construction,

Join p to r such as pr is a diagnol

Proof,

We know that , the diagonal of a paralleogram divides it into two congruent triangles and , the area of the congruent triangles are equal .

So, ar (tr pqr)=at (tr rsp).

Now,

Let area of pqrs be x

Area of PQRS = area of pqr +area of esp

X=50+50cm/s

X=100cm/s

Hence, Area ofparalleogra pqrs = 100cm/s

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