Answer:
12.5 inches
Step-by-step explanation:
To find the hypotenuse of a right triangle, you have to use pythagoreans theorem, which is
[tex]a^2 + b^2 = c^2[/tex]
a and b represent the length of the legs, and c represents the hypotenuse.
So, all we have to do is plug in the numbers 7.5 and 10 for the lengths of the legs, and we get this equation:
[tex]7.5^2 + 10^2 = c^2\\56.25 + 100 = c^2\\156.25 = c^2\\12.5 = c[/tex]
Just solve the equation, and you end up with a hypotenuse of length 12.5