Q. 33.5( 2 Votes )

(Pythagoras’s The

Answer :

Given:- Right angle Triangle

To Prove:- Square of the hypotenuse is equal to the sum of the squares of the other two sides

Let ΔAOB be right angle triangle with right angle at O

Thus we have to prove

AB2 = OA2 + OB2

Proof: - Let, O at Origin, then

Since OB is perpendicular at OA, their dot product equals to zero

We know that,





We can see that, by triangle law of vector addition,


From equation (i)

(Pythagoras theorem)

Hence, proved.

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