Answer
The statement: “In any triangle, the sum of the squares of the lengths of the two shorter sides equals the square of the length of the longest side”. is false.
Work Step by Step
According to the Pythagorean Theorem, in a right-angled triangle, the sum of the squares of lengths of the two legs that is base (b) and perpendicular (p) is equal to the square of the third that is the longest side called the hypotenuse (h).
The equation given by the Pythagorean Theorem has been shown as mentioned below:
${{h}^{2}}={{p}^{2}}+{{b}^{2}}$
Hence, the given statement is false.
The correct statement is “In any right angle triangle, the sum of the squares of the lengths of the two shorter sides equals the square of the length of the longest side.
