- #1

I am having trouble understanding the solution to a problem. It should be straightforward but as usual it is not straightforward to me.

Question:

Construct a triangle ABC given side a, angle B, and the length of the median from C.

Now, I first construct the side a (side BC). I then construct angle B (say XBC). Now as far as I understand it the median is a segment that joins the vertex to the midpoint of the opposite side.

In the solution given to me, it says to let m be the length of the median. With the center C and radius m, draw a circle cutting the ray BX at M (Depending upon the length m, there may be 1 or 2 possible points M). This step I do not get.

If length m is the length of the median, using C as the center, how would I possibly get 2 points? I can only visualize one point. And that one point is tangent to the ray BX. And that tangent point is not very precise.

Could someone spell it out for me? I must be missing something elementry.

Any help is appreciated.

Thankyou.