Question

State and prove the Pythagoras theorem.

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Solution

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

Given: ABC is a triangle in which

Construction: Draw .

Proof:
In and

             [Common angle]

     [Each ]

   [ Criteria]

So,

Now,             ..........(1)

Similarly,

              ..........(2)

Adding equations (1) and (2) we get,




 

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