One of the legs of a right-angled triangle is 12 cm, and the other is 3 less. Find the hypotenuse.

If one leg is 12 cm, and the other is 3 cm less, then the second leg is equal to:

12 – 3 = 9 cm.

Let’s find the hypotenuse according to the Pythagorean theorem (the square of the hypotenuse is equal to the sum of the squares of the legs):

c² = a² + b²;

c² = 9² + 12²;

c² = 36 + 144;

c² = 180;

c = √180;

c = 13√11 cm – the hypotenuse of the triangle

Answer: 13√11 cm