Answer:
48, 55, 73
Step-by-step explanation:
A Pythagorean triple are integers that can be entered in the Pythagorean theorem and be true
A common example is 3, 4, 5 because
[tex]3^{2} +4^{2} =5^{2}[/tex]
So here, you want to plug in the 8 for the x in the equation and 3 for the y
Then, what you are looking for is when the equation looks like
[tex]a^{2} + b^{2} = c^{2}[/tex]
So:
[tex](8^{2}+3^{2})^{2} = (8^{2} - 3^{2})^{2} + (2(8)(3))^{2}[/tex]
Simplify:
[tex]73^{2} = 55^{2} + 48^{2}[/tex]
We can see that the numbers in here follow the pythagorean theorem, where c = 73, b = 55, and a = 48
So the triple is 48, 55, and 73
