If sides A and B of a triangle have lengths of 5 and 2 respectively, and the angle between them is #(5pi)/8#, then what is the area of the triangle?

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Answer 1 · 2018-05-16T07:11:43

#A=color(red)(4.61939766256 " square units"#

Use #Area=1/2 xx a xx b xx sin C#

#A=cancel(color(red)(1/2)) xx 5 xx cancel(color(red)(2)) xx sin ((5pi)/8)#

#A=color(red)(4.61939766256 " sq units"#

Answer 2 · 2018-06-18T01:53:26

#"Area of a " Delta, A_t = (1/2) a * b * sin C#

#"Given : a = 5, b = 2, hat C = (5pi) / 8#

#:. A_t =cancel (1/2) * 5 * cancel2 * sin ((5pi)/8)#

#A_t = 5 sin ((5pi) / 8) = 4.62 " sq units"#