Question

In Figure, ΔABC is circumscribing a circle, the length of BC is ______ cm.

Answer 1

In Figure, ΔABC is circumscribing a circle, the length of BC is 10 cm.

Explanation:

AP and AR are tangents to the circle from external point A.

∴ AP = AR i.e., AR = 4 cm

Similarly, PB and BQ are tangents.

∴ BP = BQ i.e., BQ = 3 cm

Now, CR = AC – AR

= 11 – 4

= 7 cm

Similarly, CR and CQ are tangents.

∴ CR = CQ i.e., CQ = 7 cm

Now, BC = BQ + CQ

= 3 + 7

= 10 cm

Hence, the length of BC is 10 cm.