Question

determine if the following set of numbers are pythagorean triples. 15, 20, 25

Explanation:

Step1: Recall the Pythagorean theorem

For a set of numbers \(a\), \(b\), \(c\) (\(c\) is the largest number), if \(a^{2}+b^{2}=c^{2}\), then they are Pythagorean triples. Here \(a = 15\), \(b=20\), \(c = 25\).

Step2: Calculate \(a^{2}+b^{2}\) and \(c^{2}\)

• Calculate \(a^{2}+b^{2}\):

\(a^{2}+b^{2}=15^{2}+20^{2}=225 + 400=625\)

• Calculate \(c^{2}\):

\(c^{2}=25^{2}=625\)

Answer:

Since \(15^{2}+20^{2}=25^{2}\), the answer is Yes.