A baseball diamond is a square with a side length of 90 ft. What is the distance from first base to third base in simplest radical form?

90 ft.

Step-by-step explanation:

Using the Pythagorean theorem we get 90^2 + 90^2 = d^2 where d is the distance from 1st base to third base.  So, d^2 = 8100 + 8100 = 16200

d = = 90.   An easier way to do this is to recognize that the triangle formed by the diagonal of the baseball diamond and the two base paths from home to first and third is a 45-45-90 triangle.  Therefore, the hypontenuse (diagonal) equals times a leg (90 ft.)

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

answer: '

the distance between points l and m

step-by-step explanation: