a square has a diagonal measurement of 8 radical 2 inches. calculate its perimeter.

1 answer

A 45-45-90 deg triangle is one-half a square.

The length of a leg opposite a 45 deg angle equals one-half the length of the hypotenuse times the square root of 2.

to find one of the sides of the square,
c = a * sqrt2 (the diagonal)
8(sqrt2) = a * sqrt2
a = 8

P = 4s
P = 4 * 8
P = 32