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stira [4]
3 years ago
7

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. 58.04
B. 47.43
C. 33.60
D. 53
Mathematics
1 answer:
dezoksy [38]3 years ago
6 0

Answer:

A. 58.04°

Step-by-step explanation:

Let the sides of the triangle be A , B  and C.

A = 32

B = 35

C = what we don't know.

The opposite angle to C is 120° and its just denoted as ∡C

The formula to find C² = A² + B² - 2ABcos∡C

C² = 32² + 35² - 2(32)(35)cos120°

C² = 1024 + 1225 - 2240cos120°

C² = 3369

C = \sqrt{3369} ≅ 58.04°


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