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

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.