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Pythagorean triples are a2+b2 = c2 where a, b and c are the three positive integers. These triples are represented as (a,b,c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle. The most known and smallest triplets are (3,4,5). Learn Pythagoras theorem for more details.
Sep 23, 2024 · Pythagorean triples are sets of three positive integers that satisfy the Pythagorean Theorem. This ancient theorem, attributed to the Greek mathematician Pythagoras, is fundamental in geometry and trigonometry.
A 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), 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.
A "Pythagorean Triple" is a set of positive integers, a, b and c that fits the rule: a 2 + b 2 = c 2. Example: The smallest Pythagorean Triple is 3, 4 and 5. Let's check it: 3 2 + 4 2 = 5 2. Calculating this becomes: 9 + 16 = 25. Yes, it is a Pythagorean Triple! Triangles.
To find the Pythagorean triples, the following formula is used. If a, b are two sides of the triangle and c is the hypotenuse, then, a, b, and c can be found out using this-. a = m 2 -n 2. b = 2mn. c = m 2 +n 2. These values result in a right-angled triangle with sides a, b, c.
Pythagorean triples are the three positive integers that completely satisfy the Pythagorean theorem. Learn everything you need to know about Pythagorean triples with formulas, examples, and more.
Aug 3, 2023 · Pythagorean Triples are a set of 3 positive integers, namely a, b, and c that perfectly satisfy the Pythagorean Theorem rule: a2 + b2 = c2, here a, b, and c are the 3 sides of a right angle triangle. In other way, we can say when the 3 sides of a triangle are a Pythagorean Triple; it is a right angle triangle.
