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DENIUS [597]
3 years ago
9

suppose a triangle has two sides of length 42 and 35 and that the angle.between these two sides is 120° what is the length of th

e third side of the triangle
Mathematics
1 answer:
pickupchik [31]3 years ago
6 0

Answer:

The length of the third side of the triangle is 7\sqrt{91}\ units

Step-by-step explanation:

Let

c ----> the length of the third side of the triangle

we know that

Applying the law of cosines

c^2=a^2+b^2-2(a)(b)cos(C)

we have

a=42\ units\\b=35\ units\\C=120^o

substitute the given values

c^2=42^2+35^2-2(42)(35)cos(120^o)

c^2=2,989-2,940cos(120^o)

c^2=4,459\\c=\sqrt{4,459}\ units\\c=7\sqrt{91}\ units

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Answer:

After 3 weeks they both will have the same amount in their savings account.

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