Question

The side lengths of a triangle are 5, 8, and 12. Is this a right triangle?

Answer 1

Not a right triangle

Explanation:

A triangle is right if the sides of the triangle satisfies the Pythagoras theorem.

That is square of the largest sides = sum of the sqaures of the sides .

That is ,

`12^2 = 5^2 + 8^2 \\\\144 = 25 + 64 \\\\144 \\eq 89`

It did not satisfy the Pythagoras theorem.

Hence the given triangle is not a right triangle.

Answer 2

Explanation:

5²+8²=25+64=89

12²=144

5²+8²≠12²

so it is not aright angled triangle.