Question

∆ PQR ~ ∆ XYZ, PQ/XY = 16/17 Find the ratio of A(∆PQR)/ A (∆XYZ)​

Answer 1

Step-by-step explanation:

Given:-

In ∆ PQR ~ ∆ XYZ, PQ/XY = 16/17

To find:-

Find the ratio of Area (∆PQR)/ Area (∆XYZ)

Solution:-

Given that

In ∆ PQR ~ ∆ XYZ, PQ/XY = 16/17

We know that

In Two similar triangles, The ratio of the areas of two similar triangles is equal to the ratio of the squares of the corresponding sides.

=>Area (∆PQR)/ Area (∆XYZ)

= (PQ/XY)^2 = (QR/YZ)^2 = (PR/XZ)^2

=>(PQ/XY)^2

=>Area (∆PQR)/ Area (∆XYZ) = (16/17)^2

Area (∆PQR)/ Area (∆XYZ) = 256/289

Answer:-

Area (∆PQR)/ Area (∆XYZ) = 256/289

Used formula:-

• In Two similar triangles, The ratio of the areas of two similar triangles is equal to the ratio of the squares of the corresponding sides.