Question

Which set of side lengths can be used to prove the statement below is false?“In any given triangle, the square of the longest side is equal to the sum of the squares of the two shorter sides.”

Answer 1

ANSWER: 3cm, 4cm, 5cm

EXPLANATION

By Pythagorean Theorem:

`c^2=a^2+b^2`

In this case, a and b represents shorter sides.

So, a=3cm and b=4cm

Thus, calculating:

`(5)^2=25=3^2+4^2=9+16=25\text{ (Proved)}`