InterviewSolution
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InterviewSolution
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If the angles of a triangle are `30^0a n d45^0`and the included side is `(sqrt(3)+1)c m`then the area of the triangle is______.A. `(sqrt(3)-1)/(2)cm^(2)`B. `(sqrt(3)+1)/(2)cm^(2)`C. `(sqrt(3)-1)cm^(2)`D. none of these |
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Answer» Correct Answer - B Let ABC be the triangle in which `a=sqrt(3)+1` cm, `angleB=30^(@) and angleC=45^(@)."Then "angleC=180^(@)-angleA-angleB=105^(@)`. `therefore b=(asinB)/(sinA) and c=(asinC)/(sinA)` `implies b=((sqrt(3)+1)sin30^(@))/(sin 105^(@)) and c=((sqrt(3)+1)sin45^(@))/(sin105^(@))` `implies b = sqrt(2) and c = 2` `therefore " Area of "DeltaABC = (1)/(2) bc sin A = (sqrt(3)+1)/(2)cm^(2)` |
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