A triangular parking lot is bounded by three streets as show

A triangular parking lot is bounded by three streets as shown. The distance between each intersection is shown on the picture and is given in feet.

dropping a perpendicular from the intersection of schleter st and bennett blvd to McCord Maze

let it be d

let the triangle formed by three sides be ABC

finding the angles of the triangle

by law of cosines

angle A = cos^-1 [ 218^2 + 334^2 - 252^2 ] / ( 2*218*334)

A = 48.98 degrees

similarly finding B

B = 40.74 degrees

C = 90.27 degrees

now applying sine rule

sin A = d / 218

d = sin A * 218

d = 164.47

therefore, shortest distance is 164.47 feet