Answer: 5329, 3025, 2304
Step-by-step explanation:
I just did the test
Pythagorean triple generated is 5329
What is Pythagorean triple?
A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². Such a triple is commonly written, and a well-known example is. If is a Pythagorean triple, then so is for any positive integer k. A primitive Pythagorean triple is one in which a, b and c are coprime
We have,
([tex]x^{2}[/tex]+[tex]y^{2}[/tex] )=( [tex]x^{2}[/tex]-[tex]y^{2}[/tex]) + [tex]2xy[/tex]
Using Points,
x =8, y=3
According to the questions
Taking square in both sides
[tex](x^{2} + y^{2}) ^{2}[/tex] = [tex](x^{2} - y^{2} ) ^{2}[/tex] + [tex](2xy)^{2}[/tex]
when, x = 8, and y = 3
[tex](8^{2} + 3^{2} )^{2}[/tex] = [tex](8^{2} - 3^{2}) ^{2}[/tex] + [tex](2.8.3)^{2}[/tex]
= 3025 + 2304
= 5329
Hence ,Pythagorean triple is 5329
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