Question

A triangle has sides with lengths of 10meters, 16 meters and 20meters. is it a right angled triangle

Answer 1

It is not a right triangle.

Explanation:

If the triangle were a right triangle, then the Pythagorean theorem would apply.

The Pythagorean theorem says:
`A^(2) + B^(2) = C^(2)`

If A = 10, B = 16, and C = 20, then
`10^(2) + 16^(2) = 20^(2)`.

`10^(2) + 16^(2) = 100 + 256 = 356`

`20^(2) = 400`

In conclusion,
`356 \\eq 400`, so this triangle is not a right triangle.