Answer:
The hypotenuse is about 13.892 feet
The entire length is about 32.892 feet
Step-by-step explanation:
First, we have to use the Pythagorean Theorem to find the hypotenuse. The Pythagorean Theorem is:
[tex]a^{2} + b^{2} = c^{2}\\[/tex]
Plug in the values...
[tex]7^2 + 12^2 = c^2[/tex]
Simplify the exponents...
49 + 144 = [tex]c^2[/tex]
Now we add.
193 = [tex]c^2[/tex]
To remove the exponent from c, lets take the square root of it.
[tex]\sqrt{193} = \sqrt{c^2}[/tex]
Which is almost 13.892 feet.
Now to find the perimeter of the entire triangle, lets add up all of the sides.
12 + 7 + 13.892 is roughly 32.892 feet. Hope this helps you!
