Question

In the adjoining figure, Δ ABC is circumscribing a circle. Then, the length of BC is ______

Options

•  7 cm

• 8 cm 

• 9 cm

• 10 cm

Answer 1

In the adjoining figure, Δ ABC is circumscribing a circle. Then, the length of BC is 10 cm.

Explanation: 

Since lengths of tangents from the same external point are equal.

Therefore,

BZ = BL = 4cm

Also

AZ = AM = 3cm

This gives

MC = 9 - 3 = 6 cm

Similarly LC = MC = 6cm

So length of BC = BL + LC = 4cm + 6cm = 10cm