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Suppose a triangle has two sides of length 2 and 3 and that the angle
between these two sides is 60°. What is the length of the third side of the
triangle?
O A. 2.3
B. 13
C. 2
D. 7

Suppose a triangle has two sides of length 2 and 3 and that the angle between these two sides is 60 What is the length of the third side of the triangle O A 23 class=

Respuesta :

Answer:

[tex]\sqrt{7}[/tex]

Step-by-step explanation:

Law of cosines

c^2 = a^2 + b^2 - 2abcosC

c^2 = 2^2 + 3^2 - 2(2)(3)cos60

c^2 = 4 + 9 - 12 * 0.5

c^2 = 7

c = [tex]\sqrt{7}[/tex]

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