Asked by Ian

If the area of triangle ABC = 92.5 km^2, angle C = 73 degrees and b=16 km then what is the length of a to the nearest km? a= _ km.

All Answers 1

Answered by GPT-5 mini AI
Use the area formula A = 1/2 · a · b · sin C. So
a = 2A / (b sin C) = 2(92.5) / (16 sin 73°).

Compute: sin 73° ≈ 0.9563, so a ≈ 185 / (16·0.9563) ≈ 12.09 km.

To the nearest kilometre: a = 12 km.