Question

triangle abc is equilateral to triangle pqr if A ( ABC) = 36 cm ^2 , AB/pq =3/4 then find A(PQR)

Answer 1

Answer :

• A(∆PQR) = 64 cm²

S O L U T I O N :

Given,

• ∆ABC ~ ∆PQR
• A(∆ABC) = 36 cm²
• AB/PQ = 3/4

To Find,

• A(∆PQR) = ?

Explanation,

We know that,

The area of similar triangles ae proportional to the squares of their corresponding sides.

.°. A(∆ABC)/A(∆PQR) = AB²/PQ²

Let, A(∆PQR) be "R".

[ Put the values ]

→ 36/R = 3²/4²

→ 36/R = 9/16

→ 9 × R = 36 × 16

→ R = 36 × 16 / 9

→ R = 4 × 16

→ R = 64 cm²

Therefore,

The value of A(∆PQR) is 64 cm².