In the given figure, p, q and R are the points of contact. If AB =6 cm, BP=3CM, THEN the perimeter of triangle ABC is
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Answer:
15.7082 is the perimeter of triangle abc.
Join AP .Angle APB is 90° by tangent theorem. then by using Pythagoras 6^2+3^2= 3√5 will be the answer . Then add the the sides we have got 6+3+3√5=15.7082
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Answer:
the perimeter of triangle ABC is 18cm
Step-by-step explanation:
According to the theorem,
So, BP = BQ
=> BQ = 3cm
=> AQ = AB + BQ = (6 +3)cm = 9cm
=> AQ = AB + BP = 9cm _____ (1)
As, AQ and AR are tangents from point A
So, AQ = AR
As, CP and CR are tangents from point C.
=> AR = AQ = AC + CR
=> AR = AC + CP = 9cm _____(2)
Adding equations (1) & (2)
=> AB + BP + AC + CP = (9+9)cm
=> AB + BC + CA = 18cm
The perimeter of triangle ABC is 18cm
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