Question

The ratio of the areas of two the triangles is 4:3 and ratio of their heights is 3:4 then find ratio of their bases

Answer 1

Δ1 :  Δ2 = 4 : 3

→0.5*b1*h1/0.5*b2 * h2 = 4:3

→(b1/b2)*(h1/h2)=4:3

→(b1/b2) * (3/4) = (4/3)

→ (b1/b2)= (4*4)/(3*3) = 16/9

ratio of their bases = 16:9