Question

The areas of two similar triangles are 121 cm² and 64 cm² respectively. If the median of the first triangle is 12.1 cm, then the corresponding median of the other triangle is

(a) 11 cm
(b) 8.8 cm
(c) 11.1 cm
(d) 8.1 cm

Answer 1

Given: The area of two similar triangles is 121cm² and 64cm² respectively. The median of the first triangle is 2.1cm.

To find: Corresponding medians of the other triangle

We know that the ratio of areas of two similar triangles is equal to the ratio of squares of their medians.

Taking square root on both side, we get

$$\begin{gathered} \frac{11}{8}=\frac{12.1\mathrm{cm}}{\mathrm{median}2} \\ \Rightarrow \mathrm{median}2=8.8\mathrm{cm} \end{gathered}$$

Hence the correct answer is .