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
1 answer:
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 =
≅ 58.04°
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