Will owe you. "dg¯¯¯¯¯¯ , eg¯¯¯¯¯ , and fg¯¯¯¯¯ are perpendicular bisectors of the sides of △abc . cf=8 cm and fg=6 cm. what is bg ? enter your answer in the box."

Step-by-step explanation:

The intersection of all three perpendicular bisector is called the circumcenter, which is an equidistant point from each vertex of the triangle, that is

So, to find the answer, we just have to find the length of CG, and that would be also the length of BG.

Now, let's focus in the , which is a right triangle and CG is the hypothenuse, applying pythagorean's theorem, we have

But, we know that

Replacing this values, we have

Remember that

Therefore,

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)