In the given fig. P , Q, R are the point of contact . If AB=4 cm , BP= 2cm then the perimeter of triangle ABC IS ?
Answers
Answer:
The perimeter of triangle ABC is = 12 cm .
Step-by-step explanation:
According to theorem , tangents drawn from external point to a circle are always equal .
So, as BP and BQ are tangents from point B.
So, BP = BQ
=> BQ = 2 cm
=> AQ = AB + BQ = 4 + 2 = 6 cm
= AB + BP = 6 cm ....................(1)
As, AQ and AR are tangents from point A
So, AQ = AR
As , CP and CR are tangents from point C .
So, CP = CR
=> AR = AQ = AC + CR
= AC + CP = 6 cm ..........................(2)
Adding equations (1) and (2)
=> AB + BP + AC + CP = 6 + 6
=> AB + BC + CA = 12 cm
=> the perimeter of triangle ABC is = 12 cm .
Answer:
the answer is in above pic
hope it helps
