NumericalModerate1.5 marks
9(b)
A(-1, 3), B(4, 2) and C(3, -2) are the vertices of a triangle.
Find the coordinates of the centroid G of the triangle
Topic: Section / midpoint / centroid
Previous-year question practice database
Answer
Exam answer
A(−1, 3) B(4, 2) C(3, −2)
Centroid:
G = ((x₁ + x₂ + x₃)/3, (y₁ + y₂ + y₃)/3)
= ((−1 + 4 + 3)/3, (3 + 2 − 2)/3)
= (6/3, 3/3)
= (2, 1)
Answer:
G = (2, 1).
Explanation
The centroid of a triangle is obtained by taking the arithmetic mean of the three x-coordinates and the three y-coordinates.
More from Section Formula and Mid-Point Formula
In the given diagram, ΔAOB is a right-angled triangle and C is the mid-point of AB. The coordinates of the point which is equidistant from the three vertices of ΔAOB is :2026ratio in which ‘P’ divides AB.2026coordinates of point P.2026write down the coordinates of A, B, C and D.2025calculate the coordinates of ‘P’, the point of intersection of the diagonals AC and BD.2025Write down the coordinates of A and D.2024