<u>Given</u>:
Given that the lengths of the legs of the right triangle are 1.5 inches and 3.6 inches.
The length of the hypotenuse is n inches.
We need to determine the length of the hypotenuse.
<u>Length of the hypotenuse:</u>
The length of the hypotenuse can be determined using the Pythagorean theorem.
Thus, we have;
![n^2=1.5^2+3.6^2](https://tex.z-dn.net/?f=n%5E2%3D1.5%5E2%2B3.6%5E2)
Squaring the terms, we have;
![n^2=2.25+12.96](https://tex.z-dn.net/?f=n%5E2%3D2.25%2B12.96)
Adding the terms, we get;
![n^2=15.21](https://tex.z-dn.net/?f=n%5E2%3D15.21)
Taking square root on both sides of the equation, we get;
![n=\sqrt{15.21}](https://tex.z-dn.net/?f=n%3D%5Csqrt%7B15.21%7D)
![n=3.9](https://tex.z-dn.net/?f=n%3D3.9)
Thus, the value of n is 3.9 inches.
Hence, the length of the hypotenuse is 3.9 inches.
Therefore, Option C is the correct answer.