Question

the ratio of the area of two triangle is 4:3 and the ratio of their height 3:4 find the ratio of the base

Answer 1

Let the bases of the two triangles be x and y and their heights be 3h and 4h respectively.
Then,((1/2) X x X 3h)/(1/2) X y X 4h)
 =4/3 =x/y
=(4/3 X 4/3)
=16/9

Required ratio = 16 : 9.

Answer 2

Answer:

Step-by-step explanation:Let the heights of the two triangles are 3x and 4x

Let the bases of the two triangles are p and q respectively.

We know that, area of the triangle =  ×base×height

 Ratio of areas = 4 : 3

× p ×3x :  × q × 4x = 4 : 3

3px : 4qx = 4 : 3

Product of extremes = product of means

9px = 16qx

p/q = 16/ 9

p : q = 16 : 9