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 the third side

Question

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 the third side of the triangle

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Kennedy 1 week 2021-10-05T21:41:14+00:00 2 Answers 0

Answers ( )

    0
    2021-10-05T21:42:31+00:00

    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

    0
    2021-10-05T21:42:34+00:00

    Answer:

    66.78

    Step-by-step explanation:

    took the cst

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45:7+7-4:2-5:5*4+35:2 =? ( )