The areas of two similar triangles `Delta ABC` and `Delta PQR ` are `2 – InterviewSolution

InterviewSolution

1.	The areas of two similar triangles `Delta ABC` and `Delta PQR ` are `25 cm^(2)` and `49 cm^(2)` respectively. If `QR=9.8` cm, find `BC`.
Answer» We know that the ratio or the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides. `:. (ar (Delta ABC))/(ar (Delta PQR))=(BC^(2))/(QR^(2))` ltbr `rArr ((BC)/(QR)^(2))= (ar (Delta ABC))/(ar (Delta PQR))=(25)/(49)=((5)/(7))^(2)` ltbr `rArr (BC)/(QR)=(5)/(7)rArr (BC)/(9.8)=(5)/(7)` `rArr BC(5xx9.8)/(7) cm= 5xx1.4 m= 7 cm` Hence, BC=7cm

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