Friday, 23 March 2018

geometry - Find possible areas of triangle given radius of circumscribed circle

Question: In triangle ABC, AB=4, AC=5, and the radius R of the circumscribed circle is equal to √7. Find all possible values of the area of triangle ABC.



Through using the sine rule, i found the angle of B to be approximately 70.89339, the angle of C to be approximately 49.10661 and the angle of A to be 60. Using the cosine law, I found the missing side length BC to be 21. Using Heron's law, I then found the area to be 53.




However, this question requires more than one area. I am confused as to how to obtain the second area?

No comments:

Post a Comment

real analysis - How to find limhrightarrow0fracsin(ha)h

How to find limh0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...