Final answer:
The length of the missing side (m) in the right triangle is 15 inches.
Step-by-step explanation:
The length of the missing side (m) in a right triangle can be found using the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.
Given the lengths of the two legs of the right triangle (9 inches and 12 inches), we can use the Pythagorean theorem to find the length of the hypotenuse:
c = √(a^2 + b^2) = √(9^2 + 12^2) = √(81 + 144) = √(225) = 15 inches
Therefore, the length of the missing side (m) in the right triangle is 15 inches.