Question

Check whether the following can be the sides of a right angled triangle:
$AB=25\text{cm},BC=24\text{cm},AC=7\text{cm}$.

Answer 1

Given sides are:

$AB=25\text{cm},BC=24\text{cm},AC=7\text{cm}$

The longest side is the hypotenuse i.e $AB$ is the hypotenuse of right angled triangle $ABC$.

$\Rightarrow (AB{)}^2=(BC{)}^2+(AC{)}^2$

i.e, $(25{)}^2=(24{)}^2+7^2$

$\Rightarrow 625=625$

$\therefore LHS=RHS$

$\therefore$ These are the sides of a right angled triangle.