Answer:
The answer is C. [tex]2\sqrt{13}[/tex] [tex]in^2[/tex].
Step-by-step explanation:
In order to determine the length of the hypotenuse, we have to know the pythagoras theorem.
The Pythagorean Theorem is a formula relating the lengths of the three sides of a right triangle.
If we take the length of the hypotenuse to be "m" and the length of the legs to be "h" and "k" then:
[tex]h^2+k^2=m^2[/tex]
So, according to the problem, we have a right triangle and the values of both legs. Therefore it is possible to determine the hypotenuse:
h=4 in
k=6 in
[tex](4)^2+(6)^2=m^2\\16+36=m^2\\m^2=52\\m=\sqrt{52}\\m=\sqrt{4*13} \\m=2\sqrt{13}[/tex]
Finally, the length of the hypotenuse in inches is C. [tex]2\sqrt{13}[/tex] [tex]in^2[/tex].
