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A triangle ABC is drawn to circumscribe a circle. If $A B = 13$ cm, BC = 14cm and $A E = 7$ cm, then AC is equal to

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11 cm

12 cm

16 cm

15 cm

answer is B.

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Detailed Solution

A E = 7

$A B =$ 13cm

$B C =$ 14cm

$A E = A F = 7$

$A B = 13$

$A F + F B = 13$

$A F = 13 - F B$

$= 13 - 7$

$= 6$

$B F = B D = 6$

$B C = 14$

$B D + D C = 14$

$6 + D C = 14$

$D C = 14 - 6$

$= 8$

$D C = C E = 8$

$A C = A E + E C$

$= 7 + 8$

$= 15$

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