Question

In the figure, ∆ABC is circumscribes a circle. AR=4, BR=3,AC=11 . Find length of BC. ​

Answer 1

Answer:

The length of BC =10

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Answer 2

Answer is 10...

Explanation :-

According to the figure..

AR = 4

BR = 3

AC = 11

To find;

BC

According to the theorem of Tangents..

According to the theorem of Tangents..Tangents drawn from a outer point of circle are always be equal.

Then.

AR = AQ

BR = BP

CP = CQ

Now,

=> AR = AQ = 4 units.

=> BR = BP = 3 units.

=> CQ = AC - AQ = 11 - 4 = 7

=> CQ = CP = 7 units.

=> BC = BP + CP = 3 + 7 = 10 units.

$\boxed{=> BC = 10 \:Units}$