Question

question 8 of 28 which of the following is best described as sets of three whole numbers (a, b, and c) that satisfy the equation a^2 + b^2 = c^2? a. prime numbers b. pythagorean triples c. perfect squares d. the pythagorean theorem

Explanation:

The Pythagorean theorem states that in a right - angled triangle, \(a^{2}+b^{2}=c^{2}\), where \(a\), \(b\) are the lengths of the two legs and \(c\) is the length of the hypotenuse. Sets of three whole numbers \((a,b,c)\) that satisfy this equation are called Pythagorean triples. Prime numbers are numbers with only two distinct positive divisors. Perfect squares are numbers of the form \(n^{2}\) where \(n\) is an integer. The Pythagorean theorem is the statement \(a^{2}+b^{2}=c^{2}\), not the sets of numbers that satisfy it.

Answer:

B. Pythagorean triples