what is the method of pythagorean triplet?
Answers
Answer:
Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. Such a triple is commonly written (a, b, c), and a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k.
What are Pythagorean Triples?
The integer solutions to the Pythagorean Theorem, a2 + b2 = c2 are called Pythagorean Triples which contains three positive integers a, b, and c.
Example: (3, 4, 5)
By evaluating we get:
32 + 42 = 52
9+16 = 25
Hence, 3,4 and 5 are the Pythagorean triples.
You can say “triplets,” but “triples” are the favoured term.
Pythagoras Triples Formula
If a triangle has one angle which is a right-angle (i.e. 90o), there exists a relationship between the three sides of the triangle.
If the longest side (called the hypotenuse) is r and the other two sides (next to the right angle) is called p and q, then:
p2 + q2 = r2.
or,
The sum of the squares of the other two sides is the same as the square of the longest side.