Question

The sides of a triangle are given below. Check whether or not the sides form a right angled triangle.

$50cm,80cm,100cm$

• A. Yes
• B. No
• C. Can't say
• D. Data insufficient

Answer 1

The correct option is B No

Given, sides of triangle
$a=50$ cm
$b=80$ cm
$c=100$ cm

For a triangle to be a right angle triangle, square of largest side(hypotenuse) should be equal to the sum of squares of other two sides.

$c^2={100}^2=10000$

$a^2+b^2={50}^2+{80}^2=2500+6400=8900$

Since, $a^2+b^2\ne c^2$

Hence, the triangle is not a right-angled triangle.