Q. 104.8( 4 Votes )

# In the given figu

Given: AB||CD and AB = 10cm

Construction: Drop perpendiculars OE and OF on to AB and CD respectively.

Now,

Consider ΔBOE and ΔCOF

Here,

OB = OC (radius)

OEB = OFC (right angle)

COF = BOE (vertically opposite angles)

By AAS congruency ΔBOE ΔCOF

OE = OF (by congruent parts of congruent triangles)

Chords equidistant from center are equal in length

That is CD = AB = 10cm

CD = 10cm

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