ASSIGNMENT · Answer the following problems regarding the application of theorems on triangle inequalities and proving inequality in triangles. (Show your solutions) Suppose we have given three left billiard balls on the table. Use the expressions to determine which two balls are furthest apart. Suppose we have given three left billiard balls on the table. Use the expressions to determine which two balls are furthest apart. 80° * Figure not drawn to scale x+10) (2x)

10. Given the right triangle below, write an equation illustrating the Pythagorean Theorem. Y T x 0 Y x

Find the coordinates of point A. A football is thrown by a quarterback to a receiver. The points in the figure show the height of the football, in feet, above the ground in terms of its distance, in yards, from the quarterback. Use this information to solve the problem. (4,8) (Type an ordered pair. Type integers or decimals rounded to the nearest tenth as needed.) 14- Interpret the coordinates. 12- C D 5 10- When the ball has traveled a distance of it is at a height of NB 8- cimals rounded to the nearest tenth as needed.) 6- REC 4- 2- meters. 0- 16 24 32 40 48 56 64 72 80 feet. Distance of the Football from the Quarterback (yards) yards. Football's Height Above the Ground (feet)