Question

If the sum of the squares of the two legs of a triangle does not equal the square of the third side, what can you conclude?

Answer 1

The triangle is not right angled.

Explanation:

According to the Pythagoras theorem, the sum of the squares of the two legs of a triangle is equal the square of the third side.

For example, in triangle ABC,

`AB^(2) = BC^(2)+CA^(2)`

It shows, that the triangle ANBC is right angled and right angle is at C.

So if the sum of the squares of the two legs of a triangle does not equal the square of the third side, it shows that the triangle is not right angled.