Since the largest angle is ∠D, then we know that ∠G cannot be the largest. The farther away the angle moves from the rest of the angles, the narrower it becomes. This is because the distance from the base and the top corner does not change to widen the angle.
If the total perimeter is 23 units use the equation [tex]6 + 8 + x = 23[/tex].
Let's say that x represents the length of [tex]OG[/tex].
First add up the known digits:
[tex]14 + x = 23[/tex]
Then isolate x by subtracting 14 from both sides:
[tex]14 - 14 + x = 23 - 14[/tex]
= [tex]x = 9[/tex]
This means that angle G is the smallest and the length of OG is 9 units.
