Question

Triangle ABC similar triangle PQR .if AB :PQ= 4:5;then find A(triangleABC ) : A(triangle PQR)​

Answer 1

Answer:

ar(△ABC) : ar(△PQR) is 16:25

Step-by-step explanation:

Similarity ratio for Areas of any Similar Triangles △ABC and △PQR is :

ar(△ABC) = (AB)^2 = (BC)^2 = (AC)^2

ar(△PQR) (PQ)^2 (QR)^2 (PR)^2

Therefore,

here AB : PQ is 4 : 5 (Given),

ar(△ABC) : ar(△PQR) would be (4)^2 : (5)^2

16 : 25.

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