Question

Suppose a triangle has two sides of length 2 and 3 and that the angle between these two sides is pi/3. What is the length of the third side of the triangle? ...is the answer sqrt7?

Answer 1

Use Law of Cosines: Let a,b,c be the side lengths and let C be the angle between a and b. Then

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

Now plug in a = 2, b = 3, C = pi/3

c^2 = 2^2 + 3^2 - 2(2)(3) cos (pi/3)
c^2 = 4 + 9 - 12*(1/2)
c^2 = 4 + 9 - 6
c^2 = 7

Answer 2

So c = sqrt(7)

Answer 3

Yea @FutureMathProfessor Beat Me To It xD

Answer 4

I'll still give you a medal though..as long as @Exvikki gives me a medal! xD

Answer 5

Gave You One Right Back Lol

Answer 6

<3 Thank you :D

Answer 7

Any time babe <3