Question

| In the figure AABC is circumscribed touching the circle at P
Q and R. If AP = 4 cm, BP = 6 cm and AC = 12 cm, find the
length of BC​

Answer 1

Answer:

hey your answer is as follows

so pls mark it as brainliest

refer the reference diagram uploaded above for better understanding

Step-by-step explanation:

so here triangle abc circumscribed adjoining circle such that the circle touches the triangle abc at points p,q and r

so thus ab bc and ac are tangents to this circle

so here ap and ar are tangent segments drawn from external point A

pb and bq are tangent segments drawn from external point B

cr and cq are tangent segments drawn from external point C to adjoining circle

thus by tangent segment theorem

we get

ap=ar=4 cm

pb=bq=6 cm

cr=cq (1)

so here ac=12 cm

so thus ac=ar+cr (a-r-c)

thus cr=12-4

ie cr=8 cm

so thus cq=8 cm from (1)

so bc=bq+cq (b-q-c)

=6+8

=14cm

thus the length of bc is 14 cm