Chart Formula Diploma

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Sold: Formula for a2+bÂ2 can be given by two types. (a + b)Â2 = aÂ2 + bÂ2 + 2ab.
a2 + b2 = c2. We say The sum of the squares of the legs of a right triangle equals the square of its hypotenuse.
The same thing could be done for any other numbers, so the general rule is that(ab)2 =a2 2ab+b2 Or in words: “The square of the difference is the sum of the squares minus two times the product of the terms.
Hence, a2+bÂ2 = (a+b)Â2 — 2ab. 'OR' aÂ2+bÂ2 = (a-b)Â2 + 2ab. Thank you.
a2 + b2 = c2 Subtract 2ab from both sides. The last equation, a2 + b2 = c2, is called the Pythagorean Theorem. We say The sum of the squares of the legs of a right triangle equals the square of its hypotenuse. ... The legs of the hypotenuse are on the other side.
Algebraically, the Pythagorean Theorem can be stated that if a triangle is a right triangle where a and b are the lengths of the legs and c is the length of the hypotenuse, then a2 + b2 = c2.
We now have two squares that have the exact same area, our (a+b)² square and our (aÂ2) + (bÂ2) + (ab) + (ab) square. Set them equal to each other: (a + b)Â2 = aÂ2 + bÂ2 + 2ab.
a2 + b2 = c2. We say The sum of the squares of the legs of a right triangle equals the square of its hypotenuse.
Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches. (Square inches can also be written in2.)
Properties of a Square The measurements of all its four angles are equal. The two diagonals bisect each other at right angles, that is, 90°. The opposite sides of a square are both parallel and equal in length. The lengths of diagonals of a square are equal.
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