A square piece of tile with sides 12 inches is cut along a diagonal, What is the length of the diagonal rounded to the nearest inch?

Respuesta :

Greetings!

We can use the Pythagorean Thereon to solve for the diagonal: [tex]a^2+b^2=c^2[/tex]

Input the information into the formula:
[tex]12^2+12^2=c^2[/tex]
Simplify.
[tex]144+144=c^2[/tex]
[tex]288=c^2[/tex]
Find the Square Root.
[tex] \sqrt288= \sqrt c^2[/tex]
The Answer Is:
[tex]16.97=c[/tex]

The diagonal would be 16.97 cm long.

Hope this helps.
-Benjamin

Answer:

the answer is D

Step-by-step explanation: