Answer: X = 25
Step-by-step explanation: We can use the Law of Cosines to solve for the remaining side of the triangle, which we'll call "x".
The Law of Cosines states that:
c^2 = a^2 + b^2 - 2ab * cos(C)
In this triangle, we are trying to find side "x" (c) so we can use the following equation:
x^2 = 20^2 + 17^2 - 2(20)(17)cos(H)
Now we can substitute the known values into the equation:
x^2 = 400 + 289 - 680cos(H)
Now we can solve for x by taking the square root of both sides:
x = sqrt(400 + 289 - 680cos(H))
= sqrt(689 - 680cos(H))
= sqrt(9 + 289cos(H))
Alternatively, we can use Law of Sines to solve for side x.
The Law of Sines states that a/sin(A) = b/sin(B) = c/sin(C)
Knowing all the angles in the triangle we can use the following equation
x/sin(K) = 20/sin(P) = 17/sin(H)
Now we can substitute the known values into the equation
x = (20*17)/sin(H)
In both case we get x = 25.