Problem 90 of 7
Compare triangle areas with same sides same two sides and included angles 90 and 120 degrees.
Hints
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
reason with sine of angle.
Hidden until you reveal it.
Reason with sine of acute, right, and obtuse included angles.
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. Use A=1/2ab sin(C) with same a and b.
2. Compare sine values of the included angles.
3. Conclude which area is larger or equal.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Assuming larger angle always gives larger area past 90 degrees.