Question

In triangle DEF, CG = (x + 5) units and DG = (3x – 2).

Answer 1

In triangle DEF, CG = (x + 5) units and DG = (3x – 2).



What is DG?


___34__ units

Answer 2

Answer:  

34 units.

Step-by-step explanation:

We have been given an image of a triangle and we are asked to find the length of segment DG,

We can see that point g is the centroid of our given triangle as it is the point, where medians of our given triangle are intersecting.

Since we know that centroid of a triangle divides its medians in 2:1 ratio, so we can set an equation for DG and CG as:

$2*CG=DG$

Now let us solve for x.

$2(x+5)=3x-2$

$2x+10=3x-2$

$2x-2x+10=3x-2x-2$

$10=x-2$

$10+2=x-2+2$

$12=x$

Upon substituting x=12 in the expression for the length of segment DG we will get,

$DG=3x-2$

$DG=3*12-2$

$DG=36-2$

$DG=34$

Therefore, the length of segment DG is 34 units.