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

Mathematics

Aden Richards

13 July, 08:58

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

+3

Answers (1)

Know the Answer?

Jerimiah Pena · 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