Hello!
To find the hypotenuse of a right triangle, we use the formula: a² + b² = c². In this formula, which is also known as the Pythagorean Theorem, a and b are the legs of the right triangle, and c is the hypotenuse, which is the value we are trying to find.
The value of leg a is 9 centimeters, and value of leg b is 12 centimeters. With those values, we can substitute it into our equation and solve.
(9)² + (12)² = c² (simplify the exponent)
81 + 144 = c² (simplify)
225 = c² (take the square root of both sides)
c = 15
Therefore, the length of the hypotenuse is 15 centimeters.