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

Answer:

The triangle is not right angled.

Step-by-step 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.