What is the length of one side of the rhombus if the diagonals of a rhombus have lengths of 12 centimeters and 16 centimeters?

Since the diagonals of a rhombus are perpendicular and bisect each other, then we can use the Pythagorean theorem to find the length of the side of the rhombus. So in the right triangle, whose length of the legs are 6 and 8 centimeters, the hypotenuse length (the length of the side of the rhombus) is

√(62 + 82) = √(36 + 64) = √100 = 10 cm.