Question

If ΔАBC ~ ΔPQR, PQ = 5 cm, perimeter of ΔPQR = 20 cm, AB = 7.5 cm, then perimeter of ABC is ______.

पर्याय

• 25 cm

• 30 cm

• 24 cm

• 32 cm

Answer 1

If ΔАBC ~ ΔPQR, PQ = 5 cm, perimeter of ΔPQR = 20 cm, AB = 7.5 cm, then perimeter of ABC is 30 cm.

Explanation:

Since △ABC∼△PQR, the ratio of corresponding sides equals the ratio of their perimeters.

`"Perimeter of ABC"/"Perimeter of PQR" = (AB)/(PQ)`

Substitute the given values:

`"Perimeter of ABC"/20 = 7.5/5`

`"Perimeter of ABC"/20 = 3/2`

`"Perimeter of ABC" = 20 xx 3/2`

∴ Perimeter of ABC = 30 cm