Question
Solve the triangle. In other words, find the measurements of all unknown sides and angles. If two triangles are possible, solve for both.$$A \hat{B} C=68^{\circ}, A \widehat{C} B=47^{\circ} \text { and } A C=23$$.
Step 1
We know that the sum of the angles in a triangle is $180^{\circ}$, so we subtract the measures of angles $B$ and $C$ from $180^{\circ}$: $$A = 180^{\circ} - B - C = 180^{\circ} - 68^{\circ} - 47^{\circ} = 65^{\circ}.$$ Show more…
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