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Anonymous Anonymous
  • 10-01-2017
  • Mathematics
Answered

Please help!!!. I don't know how to do it.

Find the values of x and y that produce the following Pythagorean triples:

39, 760, 761

Verified Answer :

Aliwohaish12
Aliwohaish12 Aliwohaish12
  • 11-01-2017

39 has factors (1 39) & (3 13)
Here we'll try
m + n = 13
m - n = 3

2m = 16
m = 8

2n = 10
n = 5
2mn = 2 8 5 = 80
So this choice is no good.
Let's go with
m + n = 39
m - n = 1

2m = 40
m = 20

2n = 38
n = 19

Thus
x = 20² - 19² = 39
y = 2 20 19 = 760
z = 20² + 19² = 761

Answer Link

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