What is Pythagorean triplet formula.
Answers
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.
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Answer:
2m,m2-1,m2+1
Step-by-step explanation:
The variables mm and nn are any positive integers. However, positive integer mm is greater than positive integer nn, that is, m > nm>n.
We both use the values of mm and nn to calculate the lengths of the sides of right triangle ABC which are composed of the two legs aa and bb, and the longest side also known as the hypotenuse, represented by letter cc.
The value or length of side aa is calculated by finding the difference of the squares of mm and nn. We can express it in the form of the equation as a = {m^2} - {n^2}a=m
2
−n
2
.
The length of side bb is calculated by doubling the product of mm and nn. In the equation form, we have b = 2mnb=2mn.
Finally, the length of side cc is computed by getting the sum of the squares of mm and nn. This can simply be written in the equation as c = {n^2} + {m^2}c=n
2
+m
2
.