Question

In two triangles the ratio of their areas is 4 :3 and that of their heights is 3 :4 find the ratio of their bases

Answer 1

We know that Area of triangle = 1/2 bh.

Ratio of areas = ratio of bases * ratio of heights.4 : 3 = Ratio of bases * 3 : 4

4/3 *4/3 = Ratio of bases

Ratio of bases = 16 : 9 .

Hope helped!

Answer 2

Hey there! ☺☻☺

Ratio of areas = 4:3
Ratio of heights = 3:4

We know,
Area of triangle = 1/2* base * height
Hence,
Ratio of areas = ratio of bases * ratio of heights
4 : 3 = Ratio of bases * 3 : 4 
4/3 *4/3 = Ratio of bases
16: 9 = Ratio of bases.

Hence, ratio of bases = 16:9.

Hope It Helps YoU!