Date modified: Wed 2023-08-16 . 06:44 AM
Date created: Sat 2023-10-07 . 09:02 PM
# Law of sines. The law of sines states: Given any triangle with sides $A,B,C$ and angles $\alpha,\beta,\gamma$ where $\alpha$ opposes $A$, $\beta$ opposes $B$, and $\gamma$ opposes $C$, then $$ \frac{\sin(\alpha)}{A}= \frac{\sin(\beta)}{B} = \frac{\sin(\gamma)}{C} $$ ![[summer program 2023/puzzles-and-problems/---files/law-of-sines 2023-08-16 06.36.35.excalidraw.svg]] %%[[summer program 2023/puzzles-and-problems/---files/law-of-sines 2023-08-16 06.36.35.excalidraw.md|🖋 Edit in Excalidraw]], and the [[summer program 2023/puzzles-and-problems/---files/law-of-sines 2023-08-16 06.36.35.excalidraw.dark.svg|dark exported image]]%% Prove it. (Hint: Draw some altitudes.)