Let s denote the semiperimeter of a triangle ABC in which BC= a, CA = b, AB = c. If a circle to touches the sides BC, CA, AB at D,E,F, respectively. find
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Step-by-step explanation:
The correct option is: (A) s - b
Explanation:
According to question,
B is external point and BD and BF are tangents and from an external point the tangents drawn to a circle are equal in length.
=> 2s = AB + AC + BC
=> 2s = AF+ FB + AE + EC + BD + DC
=> 2s = 2AE + 2CE + 2BD
=> s = AE + CE + BD
=> s = AC + BD => s - b = BD.
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