Question

Triangle ABC has vertices of A(–8 ,8), B(6, 2), and C(–2, 1). Find the length of the median from C in triangle ABC

Answer 1

The length of the median from vertex C is equal to √17.  As a median of a triangle is a line segment joining a single vertex to the midpoint of the opposite side of the triangle. In this case, the median will be from vertex C to the mid-point of the triangles side AB. Thus, we can work out the length of the median from vertex C by using the Midpoint formula; M(AB) = (X∨1 + X∨2) /2 ; (Y∨1 + Y∨2) /2 . Giving us the points of the midpoint of side AB, which can be plotted on the cartesian plane. to find the length of the median from vertex C, we can use the distance formula and the coordinates of the midpoint and vertex C , d = √(X∨2 - X∨1) ∧2 + (Y∨2 - Y∨1)∧2.