Question

ΔАВС ~ ΔDEF and the perimeters of ΔABC and ΔDEF are 30 cm and 18 cm respectively. If BC = 9 cm then EF = ?

विकल्प

• 6.3 cm

• 5.4 cm

• 7.2 cm

• 4.5 cm

Answer 1

5.4 cm

Explanation:

For similar triangles the ratio of corresponding sides equals the ratio of their perimeters.

So, `(EF)/(BC) = 18/30`

= `3/5` 

Hence, `EF = 9 xx 3/5`

= `27/5`

= 5.4 cm