An Acute Area Range

★ 6/10plane geometry Law of Sines trigonometry Law of Cosines Trigonometric Identities

Problem

In acute triangle $ABC$ , the sides opposite angles $A, B, C$ are $a, b, c$ , with

a = \sqrt{3}, \qquad b^2 + c^2 - bc = 3.

Find the range of possible areas of triangle $ABC$ .

Answer

Solution

Difficulty	6/10
Topics	plane geometry, Law of Sines, trigonometry, Law of Cosines, Trigonometric Identities

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.