Question

PQRS is a rhombus. find the ratio of area of rhombus PQRS to the area of triangle PQR​

Answer 1

PQR is the diagonal of the rhombus which divides it into 2 equal halves!

Answer 2

Answer:

Ratio will be 2: 1.

Step-by-step explanation:

Let us take a rhombus with equal sides x named pqrs

Now, in two triangle pqr and psr formed by the diagnal pr

Pq=ps(equal sides x)

QR=qs (equal sides, x)

Pr=QR ( same side)

Triangle pqr is congruent to triangle acd by SSs property.

Thus, we can say the area of two triangle are equal.

Since ar pqr + ar prs = arpqrs

Ar pqr = ar pqrs /2

Thus ratio is 2: 1