Math, asked by malleswararaoveedhir, 1 month ago

Give two example of pythagorean triplet​

Answers

Answered by KaranMudgil
1

Answer:

Most elementary number theory texts prove that all primitive triples (a,b,c) are given by the following:

a = u2 - v2, b = 2uv, c = u2 + v2

where u and v are relatively prime integers, not both odd. Notice that a is a difference of squares, so for it to be prime we need that u and v differ by 1. So

a = 2v + 1, b = 2v2 + 2v, and c = 2v2 + 2v + 1.

Answered by snehanegi066
0

Answer:

, (3, 4, 5) and (5, 12, 13) are examples of primitive Pythagorean triples because each set has a common factor of 1 and also satisfies thePythagorean theorem: a2 + b2 = c2.

(3, 4, 5) → GCF =1

a2 + b2 = c232 + 42 = 52

9 + 16 = 25

25 = 25

(5, 12, 13) → GCF = 1

a2 + b2 = c2

52 + 122 = 132

25 + 144 = 169

169 = 169

Step-by-step explanation:

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