Question

Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results. Round to the nearest tenth and the nearest degree for sides and angles, respectively. $$a=1.4, b=2.9, A=142^{\circ}$$

          Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one
triangle, two triangles, or no triangle at all. Solve each triangle that results. Round to the nearest tenth and the nearest degree for sides and angles, respectively.
$$a=1.4, b=2.9, A=142^{\circ}$$

Added by Elizabeth F.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Julie Silva

12/28/2021

Step 1

Given: $a = 1.4$, $b = 2.9$, $A = 142^\circ$ \[\frac{\sin A}{a} = \frac{\sin B}{b}\] \[\frac{\sin 142^\circ}{1.4} = \frac{\sin B}{2.9}\] \[1.4 \times \sin 142^\circ = 2.9 \times \sin B\] \[\sin B = \frac{1.4 \times \sin 142^\circ}{2.9}\] Show more…

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Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results. Round to the nearest tenth and the nearest degree for sides and angles, respectively. $$a=1.4, b=2.9, A=142^{circ}$$