A Circumcenter Dot Range

★ 8/10plane geometry Extrema Triangle Geometry vectors

Problem

Let $O$ be the circumcenter of $\triangle ABC$ , whose sides $a, b, c$ (opposite $A, B, C$ ) satisfy

b^2 - 2b + c^2 = 0.

Find the range of possible values of $\overrightarrow{BC}\cdot\overrightarrow{AO}$ .

Answer

Solution

Difficulty	8/10
Topics	plane geometry, Extrema, Triangle Geometry, vectors

Whiteboard

Your sketch is saved only in this browser. To share it, export your drawing as an image (whiteboard menu → Export as → PNG), then upload that image in the comments below.

Discussion

Ask questions, share alternate solutions, and use LaTeX freely.

0 comments

No comments yet.