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22. Which of the following is the first step in proving the law of cosines? Find the cosine of two angles. Find the cosine of one angle. Use the Pythagorean theorem. Draw a line from one angle in a triangle that is perpendicular to the side across from the angle.

22. Which of the following is the first step in proving the law of cosines? Find the cosine of two angles. Find the cosine of one angle. Use the Pythagorean theorem. Draw a line from one angle in a triangle that is perpendicular to the side across from the angle.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Which of the following is the first step in proving the law of cosines?

### Question 22: Proving the Law of Cosines **Which of the following is the first step in proving the law of cosines?** - \( \bigcirc \) Find the cosine of two angles. - \( \bigcirc \) Find the cosine of one angle. - \( \bigcirc \) Use the Pythagorean theorem. - \( \bigcirc \) Draw a line from one angle in a triangle that is perpendicular to the side across from the angle. **Explanation:** To prove the law of cosines, the initial step involves drawing a perpendicular from one angle of the triangle to the opposite side. This helps in splitting the triangle into two right triangles, which facilitates the use of trigonometric identities and the Pythagorean theorem in the subsequent steps.
Transcribed Image Text:### Question 22: Proving the Law of Cosines **Which of the following is the first step in proving the law of cosines?** - \( \bigcirc \) Find the cosine of two angles. - \( \bigcirc \) Find the cosine of one angle. - \( \bigcirc \) Use the Pythagorean theorem. - \( \bigcirc \) Draw a line from one angle in a triangle that is perpendicular to the side across from the angle. **Explanation:** To prove the law of cosines, the initial step involves drawing a perpendicular from one angle of the triangle to the opposite side. This helps in splitting the triangle into two right triangles, which facilitates the use of trigonometric identities and the Pythagorean theorem in the subsequent steps.
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