Law of Tangents/Corollary/Examples

Examples of Use of Corollary to Law of Tangents

Arbitrary Example $1$

Let $\triangle ABC$ be a triangle whose sides $a, b, c$ are such that $a$ is opposite $A$, $b$ is opposite $B$ and $c$ is opposite $C$.

Let $\triangle ABC$ be such that:

\(\ds a\)

\(=\)

\(\ds 18.4\)

\(\ds b\)

\(=\)

\(\ds 12.2\)

\(\ds C\)

\(=\)

\(\ds 42 \degrees\)

where the units of measurement of $a$ and $b$ are arbitrary.

Then:

\(\ds A\)

\(=\)

\(\ds 96 \degrees 50'\)

\(\ds B\)

\(=\)

\(\ds 41 \degrees 10'\)

\(\ds c\)

\(=\)

\(\ds 12.4\)