6.1- Performance Assessment

1. Use the Information ∠A = 58, a = 20 and c = 10 to find the remaining side and angles of the oblique triangle. If two solutions exist, find both.

• $\angle B\ =96.9\degree,\ \angle C=\ 25.09\degree,\ b\ =\ 23.41$

• $\angle B\ =\ 25.09,\ \angle C\ =\ 96.9\degree,\ b=23.41$

• no triangle

• $\angle B\ =95.1\degree,\ C\ =25\degree,\ b=22.41$

2. Use the Information ∠B = 78, b = 207 and c = 210 to find the remaining side and angles of the oblique triangle. If two solutions exist, find both.

• 1 triangle, $\angle A=4.9\degree,\ a\ =\ 18.07,\ \angle C\ =\ 97.1$

• 1 triangle , $\angle A=19.103\degree,\ a\ =69.26,\ \angle C\ =82.9\degree$

• 2 $\Delta$ - $\angle A\ =\ 19.103\degree\ and\ \angle A_2=4.9\degree,\ a_2=18.07$

• no triangles