Problem 8 of 7
Derive Law of Sines for triangle altitude from vertex A to side BC.
Hints
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express same altitude/area two ways.
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Express same altitude or area two ways for acute and obtuse triangles.
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Correct
Your answer is equivalent to the expected form.
Solution
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1. Write area or altitude expressions using two different sides/angles.
2. Set equivalent expressions equal.
3. Rearrange to side-over-sine ratios.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Merely stating the law when derivation is requested.