Question

G is the centroid of triangle ABC.

what is the value of x?
What is the length of the segment DG,AG, AND AD?

Answer 1

What is the value of x?

37

What is the length of segment DG?

22 units

What is the length of segment AG?

44 units

What is the length of segment AD?

66 units

Explanation:

Answer 2

• x = 37
• DG = 22
• AG = 44
• AD = 66

Explanation:

We presume your "centroid ratio theorem" tells you that AG = 2·DG, so ...

(x+7) = 2(x -15)

x + 7 = 2x - 30 . . . . eliminate parentheses

37 = x . . . . . . . . . . .add 30-x

Then AG = 37+7 = 44

and DG = 37-15 = 22.

Of course, AD = AG +GD = 44 +22 = 66