Given ΔABC, m∠A = 120°, b = 13 cm, and c= 15 cm. Find the triangle's area. Round to the nearest tenth.

Mathematics

1 answer:

zzz [600]3 years ago

4 0

Refer to the diagram shown below.

m∠A = 120°
b = 13 cm
c = 15 cm

From the Law of Sines, the area of the triangle is
Area = (1/2)*b*c*sin(A)
= 0.5*13*15*sin(120°)
= 84.4375 cm²

Answer: 84.4 cm² (nearest tenth)

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