Suppose a triangle has two sides of length 32 and 35, and that the angle between these two sides is 120. what is the length of the third side of the triangle? a. 33.60 b. 53 c. 58.04 d. 47.43

Question

Noe Ayala

Mathematics

30 November, 05:56

Suppose a triangle has two sides of length 32 and 35, and that the angle between these two sides is 120. what is the length of the third side of the triangle? a. 33.60 b. 53 c. 58.04 d. 47.43

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Anton · Answer 1

Using cosine rule, the length of the required side = sqrt (32^2 + 35^2 - 2 x 32 x 35cos 120)

= sqrt (1024 + 1225 - (-1120))

= sqrt (2249 + 1120)

= sqrt (3369)

= 58.04