in the fig PS and PT are tangents to the circle drawn from an external point P.CD is a third tangent touching circle at q.If PT =10 cm and CQ =2cm .Find the perimeter of triangle PCD
Answers
Given : PS and PT are tangents to the circle drawn from an external point P
.CD is a third tangent touching circle at Q
PT =10 cm and CQ =2cm
To Find : perimeter of triangle PCD
Solution:
CS = CQ Equal tangent
DT = DQ Equal tangent
PS = PT Equal tangent
perimeter of triangle PCD
PC + CD + PD
CD = CQ + QD
Case 1 : CD is in between PS & PT
= PC + CQ + QD + PD
= PC + CS + DT + PD
= PS + PT
= PT + PT
= 2PT
= 2 (10)
= 20 cm
perimeter of triangle PCD = 20 cm
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