Section: Math 0 Likes

Two of the sides of a triangular garden have lengths of 100 feet and (September 2023 - G01)

Two of the sides of a triangular garden have lengths of 100 feet and 80 feet, respectively. The angle formed by these 2 sides measures 60°. Which of the following is closest to the length, in feet, of the 3rd side of the garden?

(Note: The law of cosines states that for any triangle with vertices A, B, and C, where the sides opposite those vertices have lengths a, b, and c, respectively, c^2=a^2+b^2-2abcos C; cos 60°=0.5.)

A. 60
B. 90
C. 92
D. 120
E. 156

Solution