Question

Is it possible to have a right triangle with 2cm, 3cm and 5cm as sides?

Answer 1

in a right triangle, the measure of the longest side or hypotenuse is equal to the square of the other side.

the longest side = 5

the other side = 2 and 3

Pythagorean law applies:

5² ≠ 2² + 3²

So it is not possible

Answer 2

No

Explanation:

We can check if it is a right triangle using the Pythagorean Theorem :

a² + b² = c², where a and b are the shorter sides, and c is the longest side.

(2)² + (3)² = (5)²

4 + 9 = 25

=> Incorrect

=> As it does not satisfy the equation, it is not possible to have a right triangle with these sides