Suppose a triangle has two side lengths of 4 and 4 and the angle between the side sis pi/3. What is the length of the third side of the triangle?

Question

cutiecomittee123 · Answer

I used the SAS formula and came out with 3 as the answer

caozeyuan · Answer

it is 4 because pi is 180 and so pi/3 is 60, 180-60=120, since 4=4, two angles are 120/2=60, so all three sides are same

victoriasushchik · Answer

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

caozeyuan · Answer

@Victoriasushchik  WHERE are the 2 and 3 coming from

victoriasushchik · Answer

thats your question i just answered it t