Question

Tee Ball is similar to baseball, but the field is a diamond 40 ft square. The pitchers mound is positioned 25 ft from homeplate. Determine the distance from the pitchers mound to 3rd base.

Answer 1

Triangle sides 40 and 25 and included angle = 45 degrees. We want the side opposite the 45 degree angle
c^2 = a^2+b^2 - 2ab cos 45
c^2 = 40^2 + 25^2 - 2*40*25 (sqrt 2/2)
c^2 = 1600+625-1414 =810
c=28.5