Question

ratio of area of two triangle with equal heights is 2:3.If base of the smaller triangle is 6cm then what is the corresponding base of the bigger triangle​

Answer 1

Step-by-step explanation:

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.