Find out if a triangle is rectangular if its sides are expressed by numbers 3 4 6.

in order to find out whether a triangle with such sides is rectangular, we apply the Pythagorean theorem to it. According to her, the square of the hypotenuse is equal to the sum of the squares of the legs. The hypotenuse is always the largest side, that is, in this case it is 6. Find the sum of the squares of the legs:

3² + 4² = 9 16 = 25.

Find the square of the hypotenuse:

6² = 36.

We see that

25 ≠ 36.

This means that this triangle is not right-angled.

Answer: a triangle whose sides are expressed by the numbers 3, 4 and 6 is not rectangular.