Law of Cosines

Question 1

The law of cosines is used to find the measure of .

Revolt · Accepted Answer

51º

Question 2

On which triangle can the law of cosines be applied once to find an unknown angle measure?Law of cosines: a2 = b2 + c2 – 2bccos(A)

Revolt · Accepted Answer

Triangle W X Y is shown. The length of W X is 10, the length of X Y is 8, and the length of W Y is 16.

Question 3

Law of cosines: a2 = b2 + c2 – 2bccos(A)

Revolt · Accepted Answer

34°

Question 4

Law of cosines: a2 = b2 + c2 – 2bccos(A)

Revolt · Accepted Answer

64°

Question 5

On which triangle can the law of cosines be used to find the length of an unknown side?Law of cosines: a2 = b2 + c2 – 2bccos(A)

Revolt · Accepted Answer

Triangle Q R S is shown. The length of Q R is s, the length of R S is 7, and the length of Q S is 12. Angle R S Q is 57 degrees.

Question 6

Law of cosines: a2 = b2 + c2 – 2bccos(A)

Revolt · Accepted Answer

57°

Question 7

On a softball field, home plate is 43 feet from the pitcher’s mound. A ball is hit at an angle of 27° east of the pitcher’s mound. The ball travels 162 feet before it is caught by an outfielder. Law of cosines:

Revolt · Accepted Answer

125 feet

Question 8

A parallelogram has side lengths of 13 and 17 and an angle that measures 64°.Law of cosines: a2 = b2 + c2 – 2bccos(A)

Revolt · Accepted Answer

16

Question 9

Law of cosines: a2 = b2 + c2 – 2bccos(A)

Revolt · Accepted Answer

13

Question 10

Law of cosines: a2 = b2 + c2 – 2bccos(A)

Revolt · Accepted Answer

22

Law of Cosines Answers

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