To find the length of the hypotenuse, we will use the Pythagorean Theorem.
The formula for the Pythagorean Theorem is:
a^2 + b^2 = c^2
Now, let's plug in our known values.
a = 24
b = 7
24^2 + 7^2 = c^2
Solve the exponents.
24^2 = 24 x 24
24 x 24 = 576
7^2 = 7 x 7
7 x 7 = 49
Then, we add them together.
576 + 49 = c^2
576 + 49 = 625
Lastly, find the square root of 625.
The square root of 625 is 25.
Therefore, the length of our hypotenuse is 25 inches.
24^2 + 7^2 = 25^2