Question

If (a, b, c) is a Pythagorean triplet, then c2 = ?​

Answer 1

Answer:

• A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. ... The name is derived from the Pythagorean theorem, stating that every right triangle has side lengths satisfying the formula a2 + b2 = c2; thus, Pythagorean triples describe the three integer side lengths of a right triangle.

Step-by-step explanation:

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Answer 2

Answer:

We must suppose that (a+1,b+1,c+1) is in fact a Pythagorean triple, and that (a,b,c) is, too. Then we have

(a+1)2+(b+1)2=(c+1)2(1)

and

a2+b2=c2.(2)

Expand (1)--using for example that (a+1)2=a2+2a+1--and then use (2) to eliminate all the squared terms from the resulting equation. You should be able to conclude (after gathering the a,b,c terms on one side and other terms on the other) that 1 is an even number.