Question

If a triangle has side lengths 6, 8, 10 is it a right triangle?

Answer 1

We calculate the squares of the two littlest sides and add them :

`6²+8²=36+64=100`

We now calculate the square of the biggest side :

`10²=100`

They are equal, and thus, the triangle is a right triangle.

( `AB²+BC²=AC²` => `ABC` is right in `B` )

Answer 2

When the side lengths of a triangle are in the ratio 3: 4: 5, then it is a right triangle.
These sides are 6: 8: 10, then the triangle is a right one.