Coordinates Geometry | Practice set 5.2 Q 9

Coordinates Geometry | Practice set 5.2 Q 9

A(h, –6), B(2, 3) and C(–6, k) are the co–ordinates of vertices of a triangle whose centroid is G (1, 5). Find h and k.

In this video, we're going to solve a fascinating problem in coordinate geometry. We're given the coordinates of three vertices of a triangle - A(h, -6), B(2, 3), and C(-6, k) - and we need to find the values of h and k. The centroid of this triangle is given as G(1, 5). Using the concept of centroid and its properties, we'll derive a system of linear equations and solve for h and k. This problem is perfect for students of grade 10, 11, and 12, and for those preparing for competitive exams like Olympiads, NTSE, and Boards. So, let's dive into the solution and find the missing coordinates in this triangle!