Question 339111
Since the baseball diamond is in the shape of a square, a line from third base to first base would be the diagonal of this square.
The sides (a and b) of the square are 90 feet in length so we can use the Pythagorean theorem to find the length of the diagonal (c).
{{{c^2 = a^2+b^2}}} Substitute a = 90 and b = 90.
{{{c^2 = 90^2+90^2}}}
{{{c^2 = 8100+8100}}}
{{{c^2 = 16200}}} Now take the square root of both sides.
{{{c = 127.3}}}
The distance from third base to first base is 127.3 feet.