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I'm guessing they want you to use a compass and straight-edge?

Yes.

I know how to use it, but this triangle is killing me.

let's say we have this at first
|dw:1443494963309:dw|

how would we draw a line through C such that it is perpendicular to AB?

mark the two intersections as D and E
|dw:1443495476253:dw|

let's erase the circle to make things a bit cleaner
|dw:1443495536840:dw|

That makes sense, but I still don't understand this triangle.

well if we connect A with C and B with C, we get this triangle
|dw:1443495742548:dw|

the same idea will apply but now we just have 2 extra segments

So I'll do the same at the other corners?

|dw:1443496042024:dw|

extend out BC
|dw:1443496100352:dw|

draw a circle with center A
|dw:1443496133357:dw|

they are most likely using some kind of software to help draw clean lines

I used the line tool on here

mark D and E
|dw:1443496190635:dw|

|dw:1443496208995:dw|

dra w
|dw:1443496220712:dw|

*draw arcs centered at D and E

then draw a straight line through those arc intersection points
|dw:1443496316935:dw|

you'll repeat these steps for AB and AC
imagine placing those segments along the horizontal portion

So I'm going to do that for every point on the triangle?

correct

Okay, thank you for all your help!!!

no problem