This document discusses using the law of sines to find unknown parts of a triangle. It explains that the law of sines can be used when two angles and a side are known to find the other sides. Two examples are provided: the first finds distances AC and BC of a triangle where two angles and one side are known, and the second determines possible measures of angle T when angle S, side s, and side t are known. The document ends by posing a practice problem to solve triangle RST when angle S, side r, and side s are given.
2. The Law of Sines
ï‚—From 9-2 we know that the area of a
triangle can be found using:
depending which pair of sides is known.
ï‚—Dividing each part by gives:
3. Using Law of Sines
ï‚—If we know 2 angles and a side, the
Law of Sines can be used to find the
other sides.
4. Example 1:
ï‚—An engineer wants to find distances
from points A and B to point C as
shown. Find AC and BC.
