An Angle Range from an Altitude Sum

★ 7/10trigonometry Convexity Monotonicity inequality

Problem

In $\triangle ABC$ , $AD$ is the altitude to side $BC$ . If $BC+AD=AB+AC$ , find the range of $\angle BAC$ .

Answer

Solution

Difficulty	7/10
Topics	trigonometry, Convexity, Monotonicity, inequality

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.