The side of the rhombus is 10 cm, one of the diagonals is 12 cm.Find the second diagonal of the rhombus

The diagonals are perpendicular to each other, that is, when they intersect, they form right angles. According to the Pythagorean theorem, in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. In each triangle, the hypotenuse is the side of the rhombus, the leg is half of the diagonal. Let’s answer the question of the problem.

(√ (10 ^ 2. – 6 ^ 2.)) * 2 = √64 * 2 = 8 * 2 = 16 centimeters.

Answer: 16 centimeters.