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What is pythogoram theorm ?

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What is pythogoram theorm ?

    • Posted by Home Stay 6 years, 3 months ago

    CBSE > Class 07 > Mathematics
    • 2 answers

    Santosh Kumrawat 6 years, 3 months ago

    It's the name of founder

    0Thank You

    Gaurav Seth 6 years, 3 months ago

     

    Pythagoras Theorem

    Statement: In a right angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides.

     

    Given: A right triangle ABC right angled at B.

    To prove: AC2 = AB2 + BC2

    Construction: Draw BD AC

    Proof :

    We know that: If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, then triangles on both sides of the perpendicular are similar to the whole triangle and to each other.

    ADB ABC

    So, (Sides are proportional)

    Or, AD.AC = AB2 ... (1)

    Also, BDC ABC

    So, 

    Or, CD. AC = BC2 ... (2)

    Adding (1) and (2),

    AD. AC + CD. AC = AB2 + BC2

    AC (AD + CD) = AB2 + BC2

    AC.AC = AB2 + BC2

    AC2 = AB2 + BC2

    Hence Proved.

     

     

    OR

     

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    0Thank You

    ANSWER
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