Suppose a triangle has two sides of length 2 and 3 and that angle between these two sides is 60 degrees. What is the length of the third side

Question

Mathematics

Rosemary Joseph

18 October, 07:38

Suppose a triangle has two sides of length 2 and 3 and that angle between these two sides is 60 degrees. What is the length of the third side

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Answers (1)

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Mckenzie Grimes · Answer 1

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