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,

)

Therefore,


……(i)

Now,

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



Therefore,



From equation (i)



(Pythagoras theorem)


Hence, proved.

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