A triangle has sides A, B, and C. Sides A and B have lengths of 3 and 5, respectively. The angle between A and C is #(5pi)/24# and the angle between B and C is # (5pi)/24#. What is the area of the triangle?

Question

1410 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-17T07:50:36

Measurements not in order.

Third angle #C = pi - (5pi)/24 - (5pi)/24 = (7pi)/12#

It’s an isosceles triangle with angles #hatA = hat B = (5pi)/24#

enter image source here

That means sides opposite to them must be equal.

Hence # a = b# ; but given #a = 3, b = 5#

Hence the measurements are not in order.