Answer:
12 + √74 cm
Step-by-step explanation:
The perimeter (literally meaning "around measure") is the length around an area, shape, or boundary. Here, we have a right triangle, and the legs of that right triangle measure 5 cm and 7 cm. Using the Pythagorean theorem, we can find the hypotenuse (we'll call it h):
[tex]5^2+7^2=h^2\\25 + 49=h^2\\74=h^2\\\sqrt{74}=h\\[/tex]
Adding all the lengths together, we find a perimeter of
5 + 7 + √74 = 12 + √74 cm
