Question

In the adjacent figure, two triangles are similar. Find the length of the missing side.

Answer 1

Similar triangles are those triangles which may have different sizes but the ratio of their sides will have a constant ratio. That is when they are reduced or simplified their sides will have the same ratio.

Since both the triangles are similar their ratios will be same,

$\therefore \frac{13}{5}=\frac{39}{x}$

$\Rightarrow 13x=39\times 5$

$\Rightarrow 13x=195$

$\Rightarrow x=\frac{195}{13}$

$\Rightarrow x=15cm$