Question
The vertices of triangle ABC are A(2, 3), B(8, 5) and
C(5, −1). Find the coordinates of the centroid of the triangle.Solution
Centroid G of triangle with vertices (x₁, y₁), (x₂, y₂), (x₃, y₃): G = ( (x₁ + x₂ + x₃)/3 , (y₁ + y₂ + y₃)/3 ) Here: x₁ = 2, y₁ = 3 x₂ = 8, y₂ = 5 x₃ = 5, y₃ = −1 x-coordinate of centroid = (2 + 8 + 5)/3 = 15/3 = 5 y-coordinate of centroid = (3 + 5 − 1)/3 = 7/3 So centroid is G(5, 7/3).
Find the wrong number in the given number series.
1, 3, 10, 21, 64, 129, 356, 777
Find the wrong no in the given number series.
11, 18, 32, 60, 112, 228
125, 600, 2400, 7200, 14400
256 768 96 288 35 108
97, 98, 107, 132, 181, 264
Find the wrong number in given number series.
2669, 2838, 2993, 3185, 3397, 3629
Find the wrong number in the given number series.
1, 8, 27, 65, 125, 2162, 6, 44, 462, 6930, 131670
3, 4, 9, 28, 116, 566, 3397
Find the wrong number in the given number series.
32, 61, 92, 129, 170, 211
