2. If in triangle ABC, a 2, b 1+ 3 andC 60°, then find the value of c – InterviewSolution

1.

2. If in triangle ABC, a 2, b 1+ 3 andC 60°, then find the value of c.

Answer»

Use the formula cosC = (a²+b²-c²)/2ab.

=>cos(π/3) = (2²+(1+√3)²-c²)/2*2*(1+√3)=> 2+2√3 = 4+1+3+2√3 -c²=> c² = 6=> c = √6

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