Given:
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.
Length of the hypotenuse:
The length of the hypotenuse can be determined using the Pythagorean theorem.
Thus, we have;
[tex]n^2=1.5^2+3.6^2[/tex]
Squaring the terms, we have;
[tex]n^2=2.25+12.96[/tex]
Adding the terms, we get;
[tex]n^2=15.21[/tex]
Taking square root on both sides of the equation, we get;
[tex]n=\sqrt{15.21}[/tex]
[tex]n=3.9[/tex]
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.
