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

Given ratio of two triangles with equal height is 2:3
Let b₁ be base of smaller triangle and b₂ be base of bigger triangle.
b₁ = 6 cm
Let a₁ and a₂ be areas of the triangles.
Since triangles have equal height , a₁/a₂ = b₁/b₂
2/3 = 6/b₂
b₂ = 3×6/2
b₂ = 9
Hence base of bigger triangle is 9 cm.