Question

Which side is the hypotenuse for the sides, $48,73$ and $55$ in a right angled ? (Apply Converse of Pythagoras theorem).

Answer 1

According to the Pythagoras theorem, In a right angle triangle square of the hypotenuse equals the sum of the square of the other two sides.

$\Rightarrow a^2+b^2=c^2$

$\therefore {48}^2+{55}^2={73}^2$

$\Rightarrow {48}^2+{55}^2\Rightarrow 2304+3025=5329$

Also, $\Rightarrow {73}^2=5329$

$\therefore LHS=RHS=5329$

Hence the given sides form a right-angled triangle.

As the longest side of the triangle is called the hypotenuse,

$\therefore 73$ is the hypotenuse.