In a triangleABC 1/b+c +1/c+a =3/a+b+c thenFind angle c?
arkotam devendar , 6 Years ago
Grade 12th pass
Magical Mathematics[Interesting Approach]> In a triangleABC 1/b+c +1/c+a =3/a+b+c th...
1 Answers
Valli Sundari
Last Activity: 6 Years ago
given 1/b+c + 1/c+a = 3/a+b+c
so on simplification c+a+b+c/ab+ac+bc+c2 = 3 is obtained
on further simplification equation ab = b2 – c2 + a2 is obtained
as we know cos C = b2 - c2 +a2 / 2ab
so the result obtained in the previous case we solve the equations to obtain the value of cosC as ½ so hence the angle c is sixty degrees
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