In the triangle ABC, angle A = 30° and angle B = 60°. The perimeter of the triangle is 5(3 + 13). Find the area of
the triangle. Give your answer in exact
form.

Respuesta :

Answer:

Perimeter of triangle ABC = 5(3+13) = 5 x 16 = 80

Angle A = 30°, Angle B = 60°

Therefore Angle C = 90°

Pythagorean triplet = 40/3, 96/3, 104/3

Area of triangle ABC = 1/2 x b x h

= 1/2 x 40/3 x 96/3

= 1920/9

= 213.3 cm^2

Hope this helps!