2
QuizMultiple Choice

Law of Sines and Law of Cosines — a Deeper Look

Question 2 • AZ-Common Core Algebra II B

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

Explanation

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

AI-written and checked against the verified answer.

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