Answer:
[tex]\sqrt{74}[/tex] units
Step-by-step explanation:
Hi there!
We can use the Pythagorean theorem to solve this question:
[tex]a^2+b^2=c^2[/tex] where a and b are the two legs and c is the hypotenuse
Plug in the two legs 5 and 7 and solve for c, the hypotenuse:
[tex]5^2+7^2=c^2\\25+49=c^2\\74=c^2\\c=\sqrt{74}[/tex]
Therefore, the length of the hypotenuse in radical form is [tex]\sqrt{74}[/tex] units.
I hope this helps!