Question

33 what is the pythagorean theorem? a a + b + c b a² + b² = c² c a² - b² = c² d abc = d

Explanation:

The Pythagorean Theorem states that in a right - angled triangle, the square of the length of the hypotenuse (the side opposite the right angle, denoted as \(c\)) is equal to the sum of the squares of the lengths of the other two sides (denoted as \(a\) and \(b\)). Mathematically, this is expressed as \(a^{2}+b^{2}=c^{2}\). Option A is the sum of the sides, not related to the Pythagorean Theorem. Option C has a subtraction which is incorrect for the Pythagorean Theorem. Option D is a general product equation and not related to the Pythagorean Theorem.

Answer:

B. \(a^{2}+b^{2}=c^{2}\)