Question
5. What is the location of the centroid in guriangle whose vertices are C(-3,-5),E(1,3) and N(5,-7) A. R(1,-3) B. T(3,-2) C. O(-1,-4) D. D(-1,-3)
Answer
4.1
(212 Votes)
Holly
Elite · Tutor for 8 years
Answer
A
Explanation
The centroid of a triangle with vertices at coordinates A(X1, Y1), B(X2, Y2), C(X3, Y3) it is located at the coordinates given by:G = [(X1+X2+X3)/3, (Y1+Y2+Y3)/3]Applying these rules to the given vertices of Triangle CEN: C is (-3, -5) E is (1, 3)N is (5, -7) The X coordinate of the centroid (Gx) is: (-3+1+5)/3 = 1 The Y coordinate of the centroid (Gy) is: (-5+3-7)/3 = -3 Therefore, the centroid of the triangle is at the coordinates (1, -3).