In a right triangle, the length of one leg is 7 ft. The length of the other leg is 10 ft. What is the length of the hypotenuse?

To find the length of the hypotenuse in a right triangle, you can use the Pythagorean theorem, which states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). In mathematical terms, this is expressed as a² + b² = c².

In this case, one leg of the triangle (a) is 7 ft and the other leg (b) is 10 ft.

So, you can calculate the length of the hypotenuse (c) as follows:

1. Square the lengths of the two legs: a² = 7² = 49 and b² = 10² = 100.
2. Add these two values together: a² + b² = 49 + 100 = 149.
3. Take the square root of this sum to find c: c = √149.

So, the length of the hypotenuse is √149 ft, which is approximately 12.21 ft.