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Activity Discussion Math State the Pythagoras theorem. What do you mean by Pythagorean triplet?

  • State the Pythagoras theorem. What do you mean by Pythagorean triplet?

    Posted by Anushree on May 13, 2021 at 2:21 pm

    State the Pythagoras theorem. What do you mean by Pythagorean triplet?

    • This discussion was modified 1 year, 6 months ago by  Anushree Ray.
    • This discussion was modified 1 year, 6 months ago by  Kidpid.
    SHRUTI replied 1 year, 6 months ago 2 Members · 1 Reply
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  • SHRUTI

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    May 14, 2021 at 5:31 pm
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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.

    History

    The theorem is named after a greek Mathematician called Pythagoras.

    Pythagoras Theorem Formula

    Consider the triangle given above:

    Where “a” is the perpendicular,

    “b” is the base,

    “c” is the hypotenuse.

    According to the definition, the Pythagoras Theorem formula is given as:

    The side opposite to the right angle (90°) is the longest side (known as Hypotenuse) because the side opposite to the greatest angle is the longest.

    Consider three squares of sides a, b, c mounted on the three sides of a triangle having the same sides as shown.

    By Pythagoras Theorem –

    Area of square “a” + Area of square “b” = Area of square “c”

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