In the following exercise, two sides and an angle are given. First determine whether the information results in no triangle, one triangle, or two triangles. Solve the resulting triangle.
a = 22.5, b = 24.6, and A = 38.9Ā°
Determine the value of sin B.
sin B = (Round to four decimal places as needed.)
How many and what type of triangle does the given information produce? Use the rounded value of sin B.
One Right Triangle
No Triangle
One or Two Oblique Triangles
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. There is only one triangle where B ā Ā°. (Round to one decimal place as needed.)
B. There are two triangles. The smaller angle is Bā ā Ā°. The larger angle is Bā ā Ā°. (Round to one decimal place as needed.)
C. There is no solution.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. There is only one triangle where C ā Ā°. (Round to one decimal place as needed.)
B. There are two triangles. The angle corresponding to the triangle containing Bā is Cā ā Ā°. The angle corresponding to the triangle containing Bā is Cā ā Ā°. (Round to one decimal place as needed.)
C. There is no solution.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. There is only one triangle where c ā . (Round to one decimal place as needed.)
B. There are two triangles. The corresponding length of side c for each triangle is cā ā and cā ā . (Round to one decimal place as needed.)
C. There is no solution.