Answer:
√1 or 1 (You can write either both are correct but if you're looking for the totally simplified version of the answer go with 1.)
Step-by-step explanation:
This is a right triangle so pythagorean theorem works here!
[tex]a^{2} +b^{2} = c^{2}[/tex]
The hypotenuse (a.k.a the slanted side of the right triangle but in this case the 3rd side as well) is generally considered [tex]c^{2}[/tex] so that's what we'll be solving for.
12/13^2 + 5/13^2 = c^2
12/13^2 is 144/169 in fraction form & 0.85207100… in decimal form.
5/13^2 is 25/169 in fraction form & 0.147928999... in decimal form.
144/169 + 25/169 = 169/169 which is basically just 1 or 1 whole.
1^2 = c^2
√1 = √c^2
c = √1 or 1
Our answer is √1 or 1. (You can write either both are correct but if you're looking for the totally simplified version of the answer go with 1.)
Also just in case you didn't know this √ symbol means square root!
