InterviewSolution
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InterviewSolution
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number of students in the class.5. In aABC, 2Cz3LB#2(ZA+/B). Find the three angles.6. Draw the graphs of the equations Sx-y- 5 and 3x-y-3. Determinethe vertices of the triangle formed by these lines and the y axis.the co-ordinates of |
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Answer» 5. Let ∠C = 3∠B = 2∠(A+B) = x ∠C = x, -----(1)3∠B = x∠B = x/3 ----(2)2∠(A + B) = x∠A + ∠B = x/2∠A = x/2 - ∠B∠A = x/2 - x/3 -----(3)sum of the three angles in a triangle is 180degree∠A + ∠B + ∠C = 180x/2 - x/3 + x/3 + x = 180 [from(1),(2),(3)](3x - 2x + 2x + 6x)/6 = 1809x/6 = 180x = 180*6/9x = 20*6x = 120 thereforeA = x/2 - x/3 = 120/2 - 120/3 = 60 - 40 = 20B = x/3 = 120/3 = 40C = x = 120 |
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