Question
The centroid of a triangle is located at the point (2,
4). If one vertex is at (0, 0) and another at (4, 0), find the coordinates of the third vertex.Solution
Using the centroid formula: G(x, y) = [(x1 + x2 + x3)/3, (y1 + y2 + y3)/3]. So, (2, 4) = [(0 + 4 + x3)/3, (0 + 0 + y3)/3]. Solving gives: 2 = (4 + x3)/3 x3 = 2, and 4 = y3/3 => y3 = 12. Thus, the third vertex is (2, 12). Correct answer : b) (2, 12).
47.87% of 749.76 + 35.11% of 399.76 = √? + 23.15 × 20.87
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What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
