Question

I can't figure this one out

Answer 1

`c = 21`

Explanation:

You are given the lengths of two sides and the measure of the included angle. You must use the Law of Cosines.

`c^2 = a^2 + b^2 - 2ab\cos C`

`c^2 = 17^2 + 10^2 - 2(17)(10)\cos 98.8^\circ`

`c = 21.0004`

`c = 21`

Answer 2

21

Explanation:

Law of cosines

`\tt c=√(AC^2+BC^2-2\cdot AC \cdot BC\cdot\cos C)\\\\{} \ \ =√(10^2+17^2-2\cdot10\cdot17\cdot(-0.152985))\\\\{} \ \ \approx√(100 +289+52) \approx√(441) \approx21 \ units`