Q. 314.7( 4 Votes )

# From an external point p, tangents PA and PB are drawn to a circle with centre O. If CD is the tangent to the circle at the point E and PA = 14 cm, find the perimeter of ΔPCD.

Answer :

In the given fig.,

CA and CE are the two tangents drawn from an external point C at the point of contacts A and E respectively.

∴ CA = CE

[∵ __Tangents drawn from an exterior point to the circle are equal in length__]

Similarly, DE and DB are the two tangents drawn from an external point D at the point of contacts E and B respectively.

∴ DE = DB

[∵ __Tangents drawn from an exterior point to the circle are equal in length__]

Perimeter of Δ PCD = PC + CD + PD

= PC + CE + DE + PD

= PC + CA + BD + PD

= PA + PB [∵ PA = PC + CA and PB = PD + BD]

= 14 + 14 [∵ PA=PB]

= 28 cm

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUSThe radii of the circular end of a solid frustum of a cone are 33 cm and 27 cm and its slant height is 10 cm. Find its capacity and total surface area. [Take π = 22/7.]NEXTConstruct a ΔABC in which BC = 5.4 cm, AB = 4.5 cm and ∠ ABC = 60˚.Construct a triangle similar to this triangle, whose side are 3/4 of the corresponding sides of ΔABC.

Related Videos

Tricks for Easy Calculation34 mins

NCERT | Metallurgy - II48 mins

Reduction and Oxidation Reactions-II56 mins

Trigonometric Identities44 mins

Foundation | IMP PYQ's For NTSE Stage II42 mins

NCERT | Nationalism in India-II53 mins

Exploring the Indian Political world -II56 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation