Question

ΔАВС ~ ΔDEF such that ar(ΔАBC) = 36 cm² and ar(ΔDEF) = 49 cm². Then, the ratio of their corresponding sides is ______.

Options

• 36 : 49

• 6 : 7

• 7 : 6

• `sqrt(6) : sqrt(7)`

Answer 1

ΔАВС ~ ΔDEF such that ar(ΔАBC) = 36 cm² and ar(ΔDEF) = 49 cm². Then, the ratio of their corresponding sides is 6 : 7.

Explanation:

`((AB)/(DE))^2 = (ar(ΔABC))/(ar(ΔDEF))`

= `36/49`

= `(6/7)^2`

⇒ `(AB)/(DE) = 6/7`