A kite has a 6.00-inch side and a 13.00-inch side, and one of the diagonals is 15.00 inches

long. Find the length of the other diagonal, to the nearest hundredth of an inch.

1 answer

If the shorter diagonal is 2y, then since the diagonals are perpendicular,
x^2 + y^2 = 6^2
(15-x)^2 + y^2 = 13^2
Now solve for x and y.