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Consider Isosceles Triangle ABC With Angle A = 120�°. If The Perimeter Of The Triangle Is 20, Find BC.

Sujoy Das
06/02/2018 0 0

Method 1:

Let AB = a

AC = a

BC = 20-2a

Angle A = 120

Cos 30 = (20-2a)/a

√3/2 = 20-2a/a

a√3 = 40-4a

a( √3 +4) = 40

a = 40/(√3+4)

 

Method 2:

A = b/√3

B(2+√3) = 20

B = 20/(2+√3)

B = 20(2-√3)

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