Q. 174.1( 8 Votes )

In the given figu

Answer :

(i) ΔAEC and ΔAED are right triangles.

Applying Pythagoras theorem we get,

AC2 = EC2 + AE2

And AD2 = ED2 + AE2


And p2 = h2 + x2 ….(ii)

Putting (ii) in (i),


Hence, proved.

(ii) ΔAEB is a right triangle.

Applying Pythagoras theorem we get,

AB2 = EB2 + AE2


Putting (ii) in (iv ),


Hence, proved.

(iii) Adding (iii) and (v),

Hence, proved.

(iv) Subtracting (iii) and (v),

Hence, proved.

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