A triangle has sides A, B, and C. Sides A and B have lengths of 10 and 5, respectively. The angle between A and C is #(5pi)/24# and the angle between B and C is # (pi)/24#. What is the area of the triangle?

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Answer 1 · 2018-04-07T04:11:12

#color(brown)("But in the given sum, " a > b " & " hat A < hat B#

#color(blue)("Hence such a triangle cannot exist."#

#a = 10, hat A = pi/24, b = 5, hat B = (5pi) / 24#

As per the Greater angle and Greater side theorem,

#color(indigo)(a > b " if and only if " hat A > hat B#

#color(brown)("But in the given sum, " a > b " & " hat A < hat B#

#color(blue)("Hence such a triangle cannot exist."#