Answer:
32.3
Explanation:
According to the Law of Cosines, for any △ABC with sides lengths a, b, and c, a2=b2+c2−2bccosA; b2=a2+c2−2ac cosB; and c2=a2+b2−2abcosC.
Set up the equation for the Law of Cosines:
c2=a2+b2−2abcosC
Substitute the known values into the Law of Cosines:
c2=262+172−2(26)(17)cos 95°
Square the values and multiply:
с2=676+289−884cos95°
Add:
c2=965−884cos95°
Take the square root of both sides:
c=965−884cos95°
Calculate the value of cosine 95° on a calculator and solve for the positive value of square root to find c:
c≈32.3
Therefore, c≈32.3.
So, the length of side c is approximately 32.3 units.