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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.
What were the major accomplishments of Pythagoras?
Pythagoras is known or the... "Pythagorean theorem" or that.. The sum of the angles of a triangle is equal to two right angles The Pythagorean theorem Constructing figures of area Discovery of irrationals Five regular solids Earth is a sphere at the center of the universe (astronomy) Pythagoras Theorem The hypotenuse of a right triangle when squared 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.
Why cant two numbers in a Pythagorean triple be equal?
Consider an isosceles right-angled triangle. The hypotenuse is equal to the square root of the sum of the squares of two equal sides, so h2 = a2 + b2 but a and b are equal so you have a triple of h, a and a... This in its simplest form equates to h = 1 and a & b each = half of root 2.
Which of the sets of numbers is a Pythagorean Triple?
The one in which the square of the biggest one is equal to the sum of the squares of the other two is.
How do you find a pythagorean triple?
There are infinitely many Pythagorean triples. To find a Pythagorean triple take two positive integers x, y with x > y. A Pythagorean triple is of the form x2 - y2, 2xy, x2 + y2.
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.
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.
Definition of converse for pythagorean theroem?
Pythagorean Theorem: In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.Converse: If the square on the hypotenuse is equal to the sum of the squares on the other two sides of a triangle, then it is a right triangle.
What formula of triangles says that the square of the hypotenuse id equal to the sum of the squares of the other two sides?
pythagorean theorem
When do two consecutive positive integers form part of a Pythagorean triple?
The integers 3 and 4 form part of the 3-4-5 Pythagorean triple.
Which set of integers is a Pythagorean triple?
Pythagorean triples: 3, 4 and 5 or 5, 12 and 13 are two of them
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.
Why cant a right triangle have equal sides?
Because Pythagorean theorem indicates that the side opposite the right angle (hypotenuse) is always greater than any other sideAnother Answer:-It can have equal sides in the form of an isosceles right angle triangle that has a 90 degree angle and two 45 degree angles.An isosceles right triangle has two equal sides but not three. Right triangles cannot have all thee sides equal (Pythagorean theorem). All sides equal would be an equilateral triangle with all angles 60 degreesA
