Question

Base of a triangle is 9 and height is 5. Base of another triangle is 10 and height is 6. Find the ratio of areas of these triangles.

Answer 1

Let the base, height and area of the first triangle be b₁ , h₁ , and A₁ respectively. Let the base, height and area of the second triangle be b₂ , h₂ and A₂ respectively.

A₁/A₂ = (b₁ x h₁)/(b₂ x h₂) ...[Ratio of areas of two tringles is equal to the product of their bases and corresponding ]

A₁/A₂ = (9 x 5)/(10 x 6)

= 45/60

A₁/A₂ = 3/4

∴ The ratio of areas of the tringles is 3:4.