Question

if m is an odd positive integer greater than 1, then (m, (m² - 1)/2, (m² + 1)/2) is a pythagorean triple. use this to find the pythagorean triple generated when m = 3. (simplify your answer. use ascending order.) question 21, 4.1.63 hw score: 77.01%, 22.33 of 29 points points: 0 of 1

Explanation:

Step1: Substitute m = 3 into the expressions

For the first - part: \(m=3\)
For the second - part: \(\frac{m^{2}-1}{2}=\frac{3^{2}-1}{2}=\frac{9 - 1}{2}=\frac{8}{2}=4\)
For the third - part: \(\frac{m^{2}+1}{2}=\frac{3^{2}+1}{2}=\frac{9 + 1}{2}=\frac{10}{2}=5\)

Answer:

3, 4, 5