Final answer:
To find the length of the missing leg of a right triangle, we can use the Pythagorean theorem. In this case, the missing leg is 27 cm.
Step-by-step explanation:
The missing leg of a right triangle can be found using the Pythagorean theorem, which relates the lengths of the legs (labeled a and b) with the hypotenuse (labeled c). The formula is a² + b² = c². To find the missing leg, solve for a or b by substituting the given values and solving the equation. In this case, we need to find the length of the missing leg, so we'll label it as 'a'. Let's solve:
a² + 36² = 45²
a² + 1296 = 2025
a² = 2025 - 1296
a² = 729
a = √729
a = 27 cm