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If I1,I2,I3 are excenters of a triangle and I is incenter then sum II1+II2+II3= ?

If I1,I2,I3 are excenters of a triangle and I is incenter then sum 
 
II1+II2+II3= ?

Grade:12

1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
6 years ago
Hello Student,
There’s a result that says
\\II_1=4Rsin{A \over 2} \\II_2=4Rsin{B \over 2} \\II_3=4Rsin{C \over 2} \\=>II_1+II_2+II_3=4R(sin{A \over 2}+sin{B \over 2}+sin{C \over 2})
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

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