For the triangle shown, a = 48 mm, b = 34 mm, and y = 83o. Define

Question:

For the triangle shown, a = 48 mm, b = 34 mm, and y = 83o. Define a, b, and y as variables, and then:

(a) Calculate c by substituting the variables in the Law of Cosines.
(Law of Cosines: c2 = a2 + b2-2abcosy)
(b) Calculate the radius r of the circle circumscribing the triangle using the formula:
r = abc/4ˆšs(s €“ a) (s €“ b) (s €“ c)
where s = (a + b + c)/2.