Let the given sides be "a" and "b" and the unknown side be "c". The Law of Cosines tells you
.. c^2 = a^2 +b^2 -2ab*cos(C)
.. c^2 = 2^2 +3^2 -2*2*3*cos(60°)
.. c^2 = 7
.. c = √7 ≈ 2.6458
The third side of the triangle is √7, about 2.6458.
Answer:
the 2 is in the hundreds and hundredths place
It will cost $33.
Since wood cost $ .60 sq ft, you can assume she needs to buy 55 sq ft because she will need to buy enough to have 54.3 square ft.
55 x $ .60 = $33
$32.58 would be he total for the 54.3 sq ft and .42 cents would be for the left over .7 sq ft that she didn’t use
Check by using sum of angles of triangle = 180°
- 20+45 < 180 so third angle will make it 180 which means it's possible to draw
- 120+50 = 170< 180 so third angle being 10 will complete the triangle
- 90+100 = 190 > 180 so third angle being (-10) is impossible for the triangle so it can't be possible