Question

List the sides of triangle ABC from the longest to shortest.

Answer 1

We were given two angles for the triangle, A and B. We need to find the angle C, which we can find by calculating how many degrees there's left to 180 degrees.

$\begin{gathered} m\measuredangle A+m\measuredangle B+m\measuredangle C=180 \\ 46+30+m\measuredangle C=180 \\ 76+m\measuredangle C=180 \\ m\measuredangle C=180-76 \\ m\measuredangle C=104 \end{gathered}$

The left angle that is left is 104 degrees. Therefore we have:

$\begin{gathered} m\measuredangle A=46 \\ m\measuredangle B=30 \\ m\measuredangle C=104 \end{gathered}$

The greater angle is oposed to the greater side, therefore we have the following list: C, A and B.