Question

Which of the following can be sides of a right triangle.

$3,4,5$.

Answer 1

Given side length are $3,4,5$.

To check given sides length are right angle triangle or not use Pythagoras theorem.

Pythagoras theorem, ${\mathrm{a}}^2+{\mathrm{b}}^2={\mathrm{c}}^2$.

Now,

$$\begin{gathered} 3^2+4^2=5^2 \\ \Rightarrow 9+16=25 \\ \Rightarrow 25=25 \end{gathered}$$

Since, given side lengths satisfies Pythagoras theorem.

Hence, given sides length are the sides of the right angle triangle.