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In a triangle ABC, b =√3+1 c = √3-1 and angleA = 60° then angleC =plz help friends if you don't know then plz don't answer plz help friends |
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Answer» B = 30°C = 60°Step-by-step explanation:tan ( A + B - C ) = ✓3Also, tan 60° = ✓3Hence, A + B - C = 60° ------- ( 1 )NEXT, SEC ( B + C - A ) = 1However, sec 0° = 1Hence, B + C - A = 0°Thus, B + C = A ----- ( 2 )By ( 1 ) + ( 2 ),A + 2B = 60° + A2B = 60°B = 30°Therefore, in ( 1 ),A + 30° - C = 60°A - C = 30° ----- ( 3 )Now, by Angle Sum Property,A + B + C = 180°A + 30° + C = 180°A + C = 150° ----- ( 4 )By ( 3 ) + ( 4 ),2A = 180°A = 90°Hence, in ( 3 ), 90° - C = 30°C = 60°Thus,A = 90°B = 30°C = 60° |
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