# Solve this triangle?

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• July 25th 2010, 10:09 AM
seggo
Solve this triangle?
Triangle ABC has an area of 30cm^2, AC = 9 cm, and BC = 7 cm. Calculate the measure of angle C and the largest possible length of AB.
• July 25th 2010, 10:40 AM
skeeter
Quote:

Originally Posted by seggo
Triangle ABC has an area of 30cm^2, AC = 9 cm, and BC = 7 cm. Calculate the measure of angle C and the largest possible length of AB.

use the equation $Area = \frac{1}{2}ab \sin{C}$ , solve for $sin{C}$

AB (side c) will have the greatest value when angle C is obtuse.