Answer:
Step-by-step explanation:
Drop an angle bisector from angle C until it intersects AB. Because of the symmetry of the triangles created, you will form two small right angle congruent triangles. Call the point of intersection with AB = D. In other words the bisector of <C is CD.
CB = AC Isosceles triangle
CD / CB = Sin(38.5)
CD=?
CB = 35
CD / 35 = Sin(38.5) Multiply both sides by 35
CD = 35 * sin(38.5)
CD = 21.79
BD/CB = Cos(38.5)
BD = CB* Cos(38.5)
BD = 35 * Cos (38.5)
BD = 27.39
Area = CD * BA/2
BA/2 = DB
Area = CD * BD
Area = 21.79 * 27.39
Area = 596.9
