Final answer:
The length of the other leg of the right triangle can be found using the Pythagorean theorem. In this case, the length of the other leg is approximately 6.63 units.
Step-by-step explanation:
The length of the other leg of the right triangle can be found using the Pythagorean theorem. The theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. So, in this case, we have:
a^2 + b^2 = c^2
Where 'a' and 'b' are the lengths of the legs, and 'c' is the length of the hypotenuse. Plugging in the given values, we have:
10^2 + b^2 = 12^2
Simplifying, we get:
b^2 = 12^2 - 10^2
b^2 = 144 - 100
b^2 = 44
Taking the square root of both sides, we find:
b = √44
Therefore, the length of the other leg is approximately 6.63 units.