Question

A triangle has sides of length 14.1 cm, 14.8 cm and 19.5 cm.

Is this a right-angled triangle?
Show how you decide.

Answer 1

No, it is not

Explanation:

Here, we want to show if the triangle is a right angled triangle

Mathematically, if it is, the square of its longest side will be equal to the sum of the squares of the two other sides

Using this;

19.5^2 = 14.1^2 + 14.8^2

The sum of the squares will yield a number that has 20.44 as its root

So, since the sum of the squares of the two lesser sides isn’t equal to that of the longest side, then we do not have a right angled triangle