7. A triangle has sides with lengths of 10 metres,

16 metres and 20 metres. Is it a right angled

triangle? Explain your reasoning.

It is not a right triangle.

Step-by-step explanation:

We can prove this by Pythagorean theorem because it represents to a right triangle.

Pythagorean theorem:

a² + b² = c²

Now substitute the values.

Note: the longest side will represent c

So,

a = 10 m

b = 16 m

c = 20 m

10² + 16² = 20²

The objective here is to make them equal.

100 + 256 = 400

356 ≠ 400

They are not equal so it is not considered a right triangle.