Quilt squares are cut on the diagonal to form triangular quilt pieces. the hypotenuse of the resulting triangles is 20 inches long. what is the side length of each piece?

20/sqrt2 = 14.14
each side is 14.14 inches

A²+b²=c²
a and b are legs
c=hyptonuse

in a square, the legs/sides are same legnth
a=b

2a²=c²
given
hypotonuse=20=c
2a²=20²
2a²=400
divide both sides by 2
a²=200
sqrt both sides
a=10√2

the legnth of one side is 10√2 in or aprox 14.14 in