A triangle has sides A, B, and C. Sides A and B have lengths of 6 and 1, respectively. The angle between A and C is #(13pi)/24# and the angle between B and C is # (3pi)/8#. What is the area of the triangle?

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Answer 1 · 2016-02-06T12:40:20

# = 2.97" units"^2# to 2 decimal places

#color(red)(" The question has an error! " )#Producing the diagram to scale using just the angles shows that it is C that is 1. NOT B.

Tony B

#color(purple)("This gave me a lot of trouble until I drew the diagram near enough to scale!")#

#color(blue)("Assumption: The angles given in relation to the sides is correct.")#

#color(red)("Consequently the length of B is not 1")#

#color(red)("It is the length of C that is 1")#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

#"Area "= C/2 Asin((13pi)/24)#

# =1/2xx6xx sin((13pi)/24)#

# = 2.97" units"^2# to 2 decimal places