Question

Solve for x. Picture will be drawn so please wait to answer the question. Medal will be rewarded! :D Show work or explain what to do!!!!

Answer 1

I helped you on the last question you asked and you didn't even bother to respond. Why are you posting another question before finishing that one???

Answer 2

Unclear.

Is 'x' the angle? That should be easy enough.

Is 'x' the left piece of the base? Insufficient information.

Answer 3

@tkhunny the x is what you have to solve for
@BangkokGarrett Sorry for not replying to you on my last question

Answer 4

If it's a piece of the base, we don't have enough info
If it's the angle, use the law of cosines.

Answer 5

What's that interior line segment? Angle bisector? Median? Known length?

Answer 6

the line is the angle bisector

Answer 7

Oh, well that would have been helpful up front. What is your plan for solving?

Answer 8

Well 6 is the whole thing, so I figured that the other side of the bisector is x - 6

Answer 9

I honestly don't know my plan for solving

Answer 10

Well, that's pretty obvious. There are only two pieces and one of them is 'x'.

Do you have any theorems about angle bisectors of isosceles triangles?

Answer 11

like what do you mean

Answer 12

If we consider the "BASE" to be the odd side out (the one that doesn't match length with the other two), the the "APEX" angle is the angle between the matching sides. The angle bisector from the Apex angle clearly bisects the Base. What about an angle bisector from a Base angle? Anything to know about that?

Answer 13

Maybe forget that it is isosceles. How about a general triangle and an angle bisector?

\(\dfrac{x}{6-x}=\dfrac{6}{4}\) -- maybe? There have to be some triangles in your head?