Problem 49 of 7
Find included angle from triangle area data area 20, sides 8 and 10.
Hints
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
use inverse sine and consider possible angles.
Hidden until you reveal it.
Use inverse sine and consider acute/obtuse ambiguity.
Enter your answer
No answer yet
Correct
Your answer is equivalent to the expected form.
Solution
Walkthrough
Walkthrough shown
Full solution stays hidden until you ask for it.
1. Set area equal to 1/2ab sin(C).
2. Solve for sin(C).
3. Use inverse sine and check supplementary angle and feasibility.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Reporting only acute angle when obtuse angle also gives same sine and is feasible.