Question

ABC ~ PQR. If AB : PQ = 4:5,
find A(ABC): A(PQR).​

Answer 1

»»——⍟——«« Answer in pic.........

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Answer 2

Given,

∆ABC ~ ∆PQR

AB: PQ = 4:5

To find,

The measure of Area (ABC): Area (PQR).

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically, as per the "Area of Similar Triangles Theorem",

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

{Statement-1}

According to the question and statement-1, we can say,

The measure of Area (ABC): Area (PQR)

= (AB: PQ)^2 = (BC: QR)^2 = (AC: PR)^2

= (4:5)^2 = (4/5)^2

= 16/25 = 16:25

Hence, the measure of Area (ABC): Area (PQR) is equal to 16:25.