iran-konkur 2022 Q137

iran-konkur · Other · konkur-riazi_1401_specialized Sine and Cosine Rules Find a side or angle using the sine rule
137- The internal bisector of angle $A$ in triangle $ABC$ divides the opposite side into segments of $3/5$ and $2/5$ units. If the measure of angle $C$ is $60$ degrees, the smaller side of the triangle is how many units?
\[ \text{(1)}\ 3/75 \qquad \text{(2)}\ 4/25 \qquad \text{(3)}\ 4/75 \qquad \text{(4)}\ 5/25 \]
\textbf{137-} The internal bisector of angle $A$ in triangle $ABC$ divides the opposite side into segments of $3/5$ and $2/5$ units. If the measure of angle $C$ is $60$ degrees, the smaller side of the triangle is how many units?

\[
\text{(1)}\ 3/75 \qquad \text{(2)}\ 4/25 \qquad \text{(3)}\ 4/75 \qquad \text{(4)}\ 5/25
\]