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for numbers a,b, and c to be a pythagorean triple, they must obey the rule a^2+b^2=c^2. This is not true of 3 numbers picked at random of course.

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Q: How are pythagorean triples different to other triads?
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What is the pythagorean property?

Pythagoras property or Pythagorean property tells us that in a right triangle, the square of hypotenuse is equal to the sum of the squares of the other two sides.


What is pythagorean thorem for?

The Pythagorean theorem is used to find the length of a certain side in a right triangle. If you know the length of two sides of a right triangle, you can use the Pythagorean theorem, a2+ b2 = c2, to find the length of the other side. In the formula, c is the hypotenuse, which the longest side of the triangle.


How do you find hypotenuse square?

Sum the squares of the other two legs of the triangle. This is the Pythagorean Theorem.


How do you tell if a group of numbers is a Pythagorean triple?

Square them and compare the largest answer with the sum of the other two.


What is the length of the hypotenuse of a right angled triangle where one side equals 4m and the other equals 3m?

5 m. Using Pythagoras: Hypotenuse2 = side2 + other_side2 ⇒ Hypotenuse = √(side2 + other_side2) = √((3 m)2 + (4 m)2) = √(9 m2 + 16 m2) = √(25 m2) = 5 m 3, 4, 5 is a well known Pythagorean triple - the three sides of a right angle triangle (32 + 42 = 9 + 16 = 25 = 52) Another is: 5, 12, 13 (52 + 122 = 25 + 144 = 169 = 132) If you multiply each of these sides by the same number (that is scale the triangle) you get other Pythagorean triples, eg 3, 4, 5 → (x2) 6, 8, 10; (x3) 9, 12, 15; (x4) 12, 16, 20; etc are all Pythagorean triples 5, 12, 13 → (x2) 10, 24, 26; (x3) 15, 26, 39; (x4) 20, 48, 52; etc are also all Pythagorean triples.