Question

Triangles ABC and DEF are similar and their areas are 225cm2 and 324cm2 respectively. If EF= 24 cm, what is BC

Answer 1

Area of ∆ABC = 100 cm2 area of ∆DEF = 49 cm2 Altitude of ∆ABC is 5 cm AL ⊥ BC and DM ⊥ EF Let DM = x cm Or x = 3.5 Altitude of smaller triangle is 3.5 cm.