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Why is the square on the hypotenuse is equal to the sum of the square on the other two sides?
Wiki User
∙ 11y ago
See the prof of Pythagoras's theorem in any textbook on elementary geometry.
Wiki User
∙ 11y ago
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What is the hypotnuse angle theorem?
The square on the hypotenuse is equal to the sum of the squares on the other two sides.
What does pythagarean theorem state?
In a right triangle the square of hypotenuse is equal to the sum of squares of the other two sides
What is the proof for showing that the sides of an isosceles right triangle are in the ratio of one to one to the square root of 2?
Augustus Pythagoras: let the equal sides be 1 unit. The square of the third side, which is the hypotenuse, is equal to the sum of the squares of the other two sides, in this case 12 and 12, a total of 2. The hypotenuse is therefore equal to the square root of two.
Who is the Greek mathematician whose theory states that the square of the hypotenuse is equal to the sum of the squares of the lengths of the two other sides?
Pythagoras
What is the square of the hypotenuse of a right triangle is equal to the sum of the squares of the sides?
It is Pythagoras' theorem
What is the square of the hypotenuse?
The square of the hypotenuse is equal to the length of the hypotenuse times itself. This is also equal to the sum of the squares of the other two sides in a right triangle.
What is the hypotnuse angle theorem?
The square on the hypotenuse is equal to the sum of the squares on the other two sides.
How do you calculate the length of a side of a triangles?
Well, there are 3 sides, and if you are given the length of 2 of the 3 sides, you can calculate the other one. The longest side of the triangle is called the "Hypotenuse" and to calculate the hypotenuse you take the lengths of the other sides, square each of them, then add. Take the square root of the answer and that is the length of the hypotenuse. Now if you have the length of the hypotenuse and either of the other two sides, take the length of the hypotenuse and the length of the other known side, square each of them, add them, then the square root of the sum will equal the remaining side.
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.
Who first noted that the square on the hypotenuse of a right angle is equal to the sum of the squares on the other two sides?
pythagoras
What does pythagarean theorem state?
In a right triangle the square of hypotenuse is equal to the sum of squares of the other two sides
What is the proof for showing that the sides of an isosceles right triangle are in the ratio of one to one to the square root of 2?
Augustus Pythagoras: let the equal sides be 1 unit. The square of the third side, which is the hypotenuse, is equal to the sum of the squares of the other two sides, in this case 12 and 12, a total of 2. The hypotenuse is therefore equal to the square root of two.
What is the formula for the pythagorean formula?
The square of the hypotenuse of a right triangle ("h") is equal to the sum of the squares of the other two sides of the right triangle ("a" and "b"): h2 = a2 + b2. hypotenuse is equal to square root of a2+b2.
Who proofed that the square on the hypotenuse is equal to the sum of the squares on the other two sides of any right angled triangle?
Pythagoras.
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
The square of the hypotenuse is equal to the sum of the squares of the other two sides of what kind of triangle?
right angle triangle
Whose formula for triangles says that the square of the hypotenuse is equal to the sum of the squares of the other two sides?
Pythagoras' theorem
