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C is a point outside a crcle with centre A and radius r. CB and CD are tangents whose length is "t" find area of tri.BCD in terms of "r" and "t"

C is a point outside a crcle with centre A and radius r.


CB and CD are tangents whose length is "t"


find area of tri.BCD in terms of "r" and "t"

Grade:10

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
14 years ago

Dear ajinkya

 

 

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cosx =r/√r2+t2

sinx =t/√r2+t2

AE =rcosx

BE =rsinx

area BDC =2 ΔBCE =2(ΔABC -ΔABE)

                            =2(rt/2  - 1/2 AE BE)

                           =rt3/(r2+t2)

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