Question
Find the area of the triangle formed by the line 5x + 3y
= 15 and the x-axis and the y-axis.Solution
For 5x + 3y = 15 When x = 0, 5x + 3y = 3y = 15 So, y = (15/3) = 5 When y = 0, 5x + 3y = 5x = 15 So, x = (15/5) = 3 Let 'A' (0, 0), 'B' (3, 0) and 'C' (0, 5) represent the three vertices of the triangle. Then, area of the triangle = (1/2) X [0 X (0 - 5) + 3 X (5 - 0) + 0 X (0 - 0)] = (1/2) X 15 = 7.5 square units
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