A triangle has sides A, B, and C. Sides A and B have lengths of 3 and 7, respectively. The angle between A and C is #(7pi)/24# and the angle between B and C is # (11pi)/24#. What is the area of the triangle?
1 Answer
Feb 21, 2016
≈ 7.42 square units
Explanation:
The area can be calculated using
#1/2 ABsintheta#
where#theta" is the angle between A and B"# The sum of the 3 angles in a triangle
# = pi# hence the angle between A and B
#= pi - ((7pi)/24 +(11pi)/24)#
# = pi - (18pi)/24 = (6pi)/24 = pi/4 #
#rArr " area" = 1/2xx3xx7xxsin(pi/4) ≈ 7.42" square units"#
