Question

If G is the centroid of the triangle, and CG=4x + 5 and CF=9x, find the value of x. Use an equation given what you know about centroid ratios and write your answer as a decimal.

Answer 1

`\frac{\overline{CG}}{\overline{CF}}=(2)/(3)\\ (4x+5)/(9x)=(2)/(3)\\\\ 12x+15=18x\\ 6x=15\\ x=(15)/(6)=(5)/(2)`