Question

Ratio of areas of two triangles with equal heights is 2:3 . If base of the smaller triangle Is 6 cm then what is the corresponding base of the bigger triangle?​

Answer 1

Answer:

Let A1 and A2 be the areas of two triangles. Let b1 and b2 be their corresponding bases. A : A = 2 : 3 ∴ A1/A2 = 2/3 A1/A2 = b1/b2 [Tringles having equal height ]

∴ 2/3 = 6/b2 ∴ 2/3 = 6/b2 ∴ b2 = (6 x 3)/2 ∴ b2 = 9cm

∴ The corresponding base of the bigger triangle is 9 cm.