Given that s ABC and PQR are similar Find The ratio of the area of ABC to the area of PQR if their c...

Question

Given that s ABC and PQR are similar Find The ratio of the area of ABC to the area of PQR if their corresponding sides are in the ratio 1 3

Accepted Answer

Solution The square of any ratio between any two corresponding sides of two similar triangles is equal to the ratio of their areas From the question it is given that The area of ABC to the area of PQR if their corresponding sides are in the ratio 1 3 Then ABC PQR area of ABCarea of PQR BCsup2supQRsup2sup So BC QR 1 3 Therefore ABCarea of PQR 1sup2sup3sup2sup 19 Hence the ratio of the area of ABC to the area of PQR is 1 9

ML Aggarwal Solutions Class 10 Mathematics Solutions for Similarity Exercise 13.3 in Chapter 13 - Similarity