Question

In $3-14 :$ a. Determine the number of possible triangles for each set of given measures. b. Find the measures of the three angles of each possible triangle. Express approximate values to the nearest degree $$ a=8, b=10, \mathrm{m} \angle A=20 $$

          In $3-14 :$ a. Determine the number of possible triangles for each set of given measures. b. Find the measures of the three angles of each possible triangle. Express approximate values to the nearest degree
$$
a=8, b=10, \mathrm{m} \angle A=20
$$

Added by Jose W.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Kathleen Carty

06/27/2022

Step 1

$$\frac{\sin 20^\circ}{8} = \frac{\sin B}{10}$$ $$\sin B = \frac{10 \sin 20^\circ}{8} \approx 0.4275$$ $$B \approx \sin^{-1}(0.4275) \approx 25.3^\circ$$ There is another possible angle $B$ which is the supplement of $25.3^\circ$, so $B \approx Show more…

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In $3-14 :$ a. Determine the number of possible triangles for each set of given measures. b. Find the measures of the three angles of each possible triangle. Express approximate values to the nearest degree $$ a=8, b=10, mathrm{m} angle A=20 $$