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In any Pythagorean triple, the square of the two shortest sides is equal to the square of the longest side. For example, 32+42=52. Since it is impossible to have a right-angled triangle with a side of 1, it is impossible for two sides of a right-angled triangle to be of the same length.
Therefore, a Pythagorean triple will always contain three differently-sized sides.
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How can you tell if three positive numbers form a Pythagorean triple?
The Pythagorean thereom is a^2+b^2=c^2. So, you can tell if they are a Pythagorean triple by seeing if the two smaller numbers squared equal the largest number squared. Example. Are 3,4, and 5 a Pythagorean triple? 3^2= 9. 4^2= 16. 5^2= 25. 9+16=25, so they are a triple.
What are some common proofs for the Pythagorean theorem?
the square on the hypoteneuse is equal to the sum of the squares on the other two sides.
What was the pythagorean theorem used for?
The Pythagorean theorem is used to find the length of the hypotenuse of a right triangle. It states that the length of the hypotenuse is equal to the square root of the sum of the squares of the other two sides.
Can you state the Pythagorean Theorem not just the formula?
The square of the hypoentuse is equal to the sum of the squares of the other two sides.
Which quadrilateral has two pair of equal sides but no parallel sides?
A kite has two pairs of equal sides with no parallel sides.
