Math, asked by anshumishra0999, 5 months ago

What is Pythagoras theoram​


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Answered by Samhita347
7

Answer:

Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2

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Answered by Anonymous
16

Step-by-step explanation:

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Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

THE SIDES OF THIS TRIANGLE HAVE BEEN NAMED AS PERPENDICULAR, BASE AND HYPOTENUSE. HERE, THE HYPOTENUSE IS THE LONGEST SIDE, AS IT IS OPPOSITE TO THE ANGLE 90°. THE SIDES OF A RIGHT TRIANGLE (SAY A, B AND C) WHICH HAVE POSITIVE INTEGER VALUES, WHEN SQUARED, ARE PUT INTO AN EQUATION, ALSO CALLED A PYTHAGOREAN TRIPLE....

 \huge \dag{ \pink{ \underline{ \mathfrak{Proof}}}}

You can cut up a square of sides a+b into a², b² and four triangles of sides a,b,c. You can also cut up the same square into a square of side c, and the same four triangles. Now consider a single triangle so you have proven that a²+b²=c²

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