Draw a right-angled triangle, the area of which is 12 cm. How many solutions does

Draw a right-angled triangle, the area of which is 12 cm. How many solutions does this problem have if the lengths of the sides of the triangle are natural numbers.

The area of a right-angled triangle is found as a half-product of its legs.
S = 1/2 a * b.
By the statement of the problem, the area of the triangle is 12 cm².
12 = 1/2 a * b
6 = a * b, which means that we need to find such natural numbers, the product of which gives us 6, that is, the divisors of the number 6.
Option 1: a = 1, b = 6, 1 * 6 = 6;
Option 2: a = 6, b = 1, 6 * 1 = 6;
Option 3: a = 2, b = 3, 2 * 3 = 6;
Option 4: a = 3, b = 2, 3 * 2 = 6.
Answer: 4 options.