Respuesta :

gingerpoet
Apply cosine rule:

c²=b²+a²-2ba cosC

C= pi/3 = 180/3 = 60 degrees
cosine 60 deg = 0.5
c²=2²+3²-[2×2×3×0.5]
c²=7
c=√7
c=2.645 ;length of third side of angle

The length of the third side of the triangle will be 2.65 units.

What is law of cosine?

Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle C, then we have:

a² + b² – 2ab cos(C) = c²

A triangle has two sides of length 2 and 3 and that the angle between these two sides is π/3.

Then the length of the third side of the triangle will be

c² = 2² + 3² – 2 x 2 x 3 x cos(π/3)

c² = 4 + 9 – 12 x (1/2)

c² = 13 – 6

c² = 7

c = √7

c = 2.65 units

Learn more about law of cosines here:

https://brainly.com/question/17289163

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