Question 61
The ratio of the areas of two triangles ABC and PQR is 4: 5 and the ratio of their heights is 5 : 3. The ratio of the bases of triangle ABC to that of triangle PQR is:
Solution
We know that
Area = $$\frac{1}{2}\times\ b\times\ h$$
Now we can say
The ratio of areas of two triangles with bases b1 and b2 and heights h1 and h2 will be $$\frac{\left(b1\ h1\right)}{b2\ h2}$$
so we get
$$\frac{4}{5}=\frac{\left(5b1\ \right)}{3b2}$$
so b1:b2 =12:25
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