What Are the Applications of the Law of Sines?
TL;DR: The Law of Sines is your go-to whenever a triangle isn’t a right triangle and you’ve got an angle paired with its opposite side. The rule says a over sine of A equals b over sine of B equals c over sine of C — every side and its opposite angle share the same […]
The Law of Sines
The Law of Sines – Example 2: \(75+42+x=180→ 117+x=180→x=180-117=63 ^\circ \) To find sides use the law of sines: \(\frac {a}{sin\ A}=\frac {b}{sin\ B}=\frac {c}{sin\ C}\) \(\frac {22}{sin\ 75}=\frac {b}{sin\ 42}= \frac {c}{sin\ 63}\) Now, use proportional ratios: \(\frac {a}{b}=\frac{c}{d} → a×d=c×b\) \(\frac {22}{sin\ 75}=\frac {b}{sin\ 42} → b=\frac {22 × sin\ 42 } {sin\ […]