Mathematics

The angles are in ratio $1:2:3$, which means you can write them as $x$, $2x$, and $3x$—and since they sum to $180°$, you can solve for their actual values. Once you know the angles, use the sine rule ($\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}$) to connect each side to its opposite angle. The ratio of the sides will be determined entirely by the ratio of the sines of those angles.

The angles are in ratio $1:2:3$, which means you can write them as $x$, $2x$, and $3x$—and since they sum to $180°$, you can solve for their actual values. Once you know the angles, use the sine rule ($\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}$) to connect each side to its opposite angle. The ratio of the sides will be determined entirely by the ratio of the sines of those angles.