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Mekhanik [1.2K]
2 years ago
7

Suppose a triangle has to size of lint 42 and 35 and the angles between these 2 sides is 120 which equated should you solve to f

ind the length of the 3rd side of a triangle
Mathematics
1 answer:
Brilliant_brown [7]2 years ago
5 0

Answer:

7\sqrt{91}\ units or 66.78\ units

Step-by-step explanation:

we know that

Applying the law of cosines

c^{2}=a^{2}+b^{2}-2abcos(C)

In this problem we have

a=42\ units, b=35\ units, C=120\°

c is the length of the third side

Substitute

c^{2}=42^{2}+35^{2}-2(42)(35)cos(120\°)

c^{2}=1,764+1,225-2,940cos(120\°)

c^{2}=4,459

c=\sqrt{4,459}\ units

c=7\sqrt{91}\ units or c=66.78\ units

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