The function h(a)=sqrt (a^2+25) can be used to find the length of the hypotenuse of a right triangle with one leg length of 5 inches and the other leg length, a. What is the length of the hypotenuse of a right triangle with leg lengths of 5 inches and 12 inches? 7 inches 13 inches 17 inches 60 inches

To find the length of the hypotenuse of a right triangle with leg lengths of 5 inches and 12 inches, we can use the function $h(a)=\sqrt {a^{2}+25}$.<br /><br />Substituting $a=12$ into the function, we get:<br />$h(12)=\sqrt {12^{2}+25}=\sqrt {144+25}=\sqrt {169}=13$<br /><br />Therefore, the length of the hypotenuse of a right triangle with leg lengths of 5 inches and 12 inches is 13 inches.