Asked by: Circuncision Giglio
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How do you make a2 b2 c2?

Last Updated: 22nd February, 2020

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The formula is A2 + B2 = C2, thisisas simple as one leg of a triangle squared plus another leg ofatriangle squared equals the hypotenuse squared.

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Likewise, how do you solve c2 a2 b2?

The last equation, a2 + b2 = c2,iscalled the Pythagorean Theorem. We say “The sum ofthesquares of the legs of a right triangle equals the square ofitshypotenuse.” Good hint. Note that the hypotenuse sitsbyitself on one side of the equation a2 + b2=c2.

Likewise, what does a 2 B 2 C 2 mean? A theorem stating that the square of the length ofthehypotenuse (the longest side) of a right triangle is equal tothesum of the squares of the lengths of the other sides. Itismathematically stated as c2=a2 + b2, where c isthelength of the hypotenuse and a and b the lengths oftheother two sides.

Besides, when can you use a2 b2 c2?

Algebraically, the Converse of the PythagoreanTheoremcan be stated that if a2 + b2 =c2,where a and b are the lengths of the shorter sides of atriangleand c is the length of the longest side of a triangle, thenthetriangle is a right triangle.

What is B in Pythagorean Theorem?

In mathematics, the Pythagorean theorem,alsoknown as Pythagoras' theorem, is afundamentalrelation in Euclidean geometry among the three sides ofa righttriangle. It states that the square of the hypotenuse (thesideopposite the right angle) is equal to the sum of the squares oftheother two sides.

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Is Pythagorean theorem only for right triangles?

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Who came up with a2 b2 c2?

(usually framed as a2 + b2 =c2),where and c is the length of the hypotenuse, and a and bare thelengths of the two other sides. It is credited to PythagorasofSamos, a mathematician, philosopher andreligiousleader.

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What is the Pythagorean theorem used for?

The Pythagorean theorem is used any timewehave a right triangle, we know the length of two sides, and wewantto find the third side. For example: I was in the furniturestorethe other day and saw a nice entertainment center on sale ata goodprice. The space for the TV set measured 17" x21".

Shayla Themel

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What is Pythagorean theorem calculator?

This Pythagorean theorem calculatorwillcalculate the length of any of the missing sides of arighttriangle, provided you know the lengths of its other twosides. Thehypotenuse of the right triangle is the side opposite therightangle, and is the longest side.

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What is the formula of a3 b3?

8.a3b3 = (a – b) (a2 + ab+b2 ). 9.a3 + b3 = (a + b) (a2 - ab + b2 ). 10.(a+b)2 + (a - b)2 = 4ab. 11.(a + b)2 - (a - b)2 = 2(a2 + b2 ). 12.Ifa+ b +c =0, then a3 + b3 + c3 = 3 abc.

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How do you find the Pythagorean Theorem?

The hypotenuse is always opposite the right angle anditis always the longest side of the triangle. To findthelength of leg a, substitute the known values intothePythagorean Theorem. Solve fora2.

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How do you find area?

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Does Pythagoras work on all triangles?

Pythagoras' theorem states that forallright-angled triangles, 'The square on thehypotenuse isequal to the sum of the squares on the other twosides'.Pythagoras' theorem only works forright-angledtriangles, so you can use it to test whetheratriangle has a right angle or not.

Parminder Moratilla

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How do you do a squared plus B squared equals C squared?

Trigonometry - Pythagorean Theorem-Contents
The theorem states that if a right triangle hastwosides equal to a and b, and a hypotenuse equal toc,then a squared plus b squared equalscsquared.

Belaid Borneman

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How fo you find the area of a triangle?

To find the area of atriangle,multiply the base by the height, and then divide by2. The divisionby 2 comes from the fact that a parallelogram can bedivided into 2triangles. For example, in the diagram to theleft, thearea of each triangle is equal to one-halfthearea of the parallelogram.

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What is the formula of a b/c the whole square?

Simplify a + b + c = 25 and ab +bc+ ca = 59. Thus, the formula of square of atrinomialwill help us to expand.

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How do you find the height in a triangle?

If you know the base and area of the triangle,youcan divide the base by 2, then divide that by the area tofindthe height. To find the height of anequilateraltriangle, use the Pythagorean Theorem, a^2 + b^2=c^2.

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How do you find the angle of a right triangle?

Key Takeaways
  1. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is usedtofind the length of any side of a right triangle.
  2. In a right triangle, one of the angles has a value of90degrees.
  3. The longest side of a right triangle is called thehypotenuse,and it is the side that is opposite the 90 degreeangle.

Geovanna Frois

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This famous theorem is named for theGreekmathematician and philosopher, Pythagoras.Pythagorasfounded the Pythagorean School ofMathematics in Cortona, aGreek seaport in Southern Italy. He iscredited with manycontributions to mathematics although some ofthem may haveactually been the work of his students.

Ico Lindstrom

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What is the Pythagorean theorem in simple terms?

Definition of Pythagorean theorem. :atheorem in geometry: the square of the length ofthehypotenuse of a right triangle equals the sum of the squares ofthelengths of the other two sides.

Enedino Bauckhage

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What is a mathematical theorem?

A theorem is a statement that can bedemonstratedto be true by accepted mathematical operationsandarguments. In general, a theorem is an embodiment ofsomegeneral principle that makes it part of a larger theory.Theprocess of showing a theorem to be correct is calledaproof.

Eduina Sieso

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When was the Pythagorean theorem created?

Although the theorem has long been associatedwithGreek mathematician-philosopher Pythagoras(c.570–500/490 bce), it is actually far older. FourBabyloniantablets from circa 1900–1600 bce indicate someknowledge ofthe theorem, or at least of special integersknown asPythagorean triples that satisfy it.

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How do you figure out square roots?

  1. Examples.
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  3. Example: Calculate the square root of 10 ( ) to 2decimalplaces.
  4. Find the two perfect square numbers it lies between.
  5. Divide 10 by 3.
  6. Average 3.33 and 3. (
  7. Repeat step 2: 10/3.1667 = 3.1579.

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What is a set of Pythagorean triples?

A Pythagorean triple consists of threepositiveintegers a, b, and c, such that a2 +b2 =c2. However, right triangles withnon-integer sides donot form Pythagoreantriples.