Q3 of 23 Page 1

Solve Question:

The ratio of the areas of two triangles with the common base is 4:3. Height of the larger triangle is 2 cm, then finds the corresponding height of the smaller triangle.

Given:


The ratio of areas of triangles is 4:3


Let h1, h2 are the heights of 2 triangles respectively


Now,


Height of larger triangle(h1) is 2 cm


Area of a triangle is x base x height


Here bases (b) of two triangles is same.


So, ratio of areas of triangles =


⇒


⇒


∴ height of smaller triangle is


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