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Elina [12.6K]
2 years ago
15

Suppose a triangle has two sides of length 33 amd 37, and that the angle between these two sides is 120°. What is the length of

the third side of the triangle
Mathematics
1 answer:
jeka57 [31]2 years ago
7 0

Answer:

c = 60.65 cm

Step-by-step explanation:

Given that,

The two sides of a triangle are 33 cm and 37 cm.

The angle between these two sides is 120°.

We need to find the length of the third side of the triangle. Let c is the third side. Using cosine rule,

c^2=a^2+b^2-2ab\cos C

a = 33 cm, b = 37 cm and C is 120°

So,

c^2=(33)^2+(37)^2-2\times 33\times 37\cos (120)\\\\c=60.65\ cm

So, the length of the third side of the triangle is 60.65 cm.

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