Question

The following are the lengths of sides of various triangles. Which of them are right triangles?

$30cm,40cm,50cm$

Answer 1

Verifying by the Pythagoras theorem:

Pythagoras theorem states:

${\left(H\right)}^2={\left(P\right)}^2+{\left(B\right)}^2$

${\left(H\right)}^2={\left(50\right)}^2=2500$

${\left(P\right)}^2+{\left(B\right)}^2={\left(30\right)}^2+{\left(40\right)}^2$$=900+1600=2500$

$$\begin{gathered} \because 2500=2500 \\ \therefore {\left(H\right)}^2={\left(P\right)}^2+{\left(B\right)}^2 \end{gathered}$$

Given sides follow the Pythagoras theorem.

Hence, $30cm,40cm,50cm$are the sides of a right-angle triangle.