Q. 435.0( 1 Vote )

# Three statements

Here, Clearly I and III are correct.

Let us check for II statement

Construction: Let B and C be the centers of two circles having radii 10cm and 17 cm respectively and let AD be the common chord cutting BC at E.

Here,

AE = ED = 8cm

Now, in ΔABE

BE2 = AB2 – AE2

BE2 = (10)2 – (8)2

BE2 = 100– 64 = 36

BE = 6cm

Now, in ΔAEC

EC2 = AC2 – AE2

EC2 = (17)2 – (8)2

EC2 = 289– 64 = 225

EC = 25cm

Here,

BC = BE + EC = 6 + 15 = 21cm

But, it is given BC = 23cm

Statement II is false

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