4
QuizMultiple Choice

Law of Sines and Law of Cosines — a Deeper Look — Quiz

Question 4 • Precalculus

To start the proof of the Law of Cosines, an altitude is constructed. Which of the following is formed due to the construction of the altitude in a non-right triangle?

Answer
A
two right triangles
B
one right triangle
C
two acute triangles
D
one acute triangle

Explanation

An altitude is drawn from a vertex to the opposite side, meeting that side at a 90-degree angle. In a non-right triangle, this divides the original triangle into two smaller right triangles. Therefore, the construction forms two right triangles.

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