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CBSE Class 10 Answered

 A circle touches the side BC of a ∆ABC at a point P and touches AB and AC when produced, at Q  & R respectively. Show that AQ=1/2 (perimeter of ∆ABC).
Asked by rushabhjain.avv | 28 Aug, 2018, 02:28: PM
answered-by-expert Expert Answer
begin mathsize 18px style Lenghts space of space tangent space from space external space points space are space equal
AQ equals AR comma space BQ equals BP comma space CP equals CR
perimeter space of space increment ABC
AB plus BC plus CA
equals AB plus BP plus PC plus AR minus CR
equals AB plus BQ plus PC plus AQ minus PC
equals AQ plus AQ
perimeter space of space increment ABC equals 2 AQ
end style
Answered by Arun | 29 Aug, 2018, 12:13: PM
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