Question

If the area of △ABC=92.5 km2
△
𝐴
𝐵
𝐶
=
92.5

km
2
, ∠C=73 degrees
∠
𝐶
=
73

degrees
, and b=16 km
𝑏
=
16

km
, then what is the length of a, to the nearest km?

(1 point)
a=
𝑎
=
km

Answer 1

Area = (1/2)ab sin C, and C is between a and b. So
92.5 = (1/2)(a)(16) sin 73°.
Thus a = 2·92.5 / (16 sin 73°) = 185 / (16 sin 73°) ≈ 12.09 km.

To the nearest km: a = 12 km.