Answer:

Step-by-step explanation:
<u>Given:</u>
Base = b = 2 in.
Perpendicular = a = 2 in.
<u>Required:</u>
Hypotenuse = c = ?
<u>Formula:</u>
(Pythagoras Theorem)
<u>Solution:</u>
c² = (2)² + (2)²
c² = 4 + 4
c² = 8
Taking sqrt on both sides
c = 2.8 in.
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
This form (x+b)²+c is a vertex form that can be found by completing square for the equation <span>x²+440x+440².
To complete square we will need to use formula a² +2ab + b² = (a+b)²
</span> x²+440x+440²,
<span>x² +2*220²x +220² -220² +440² (we added </span>220² -220², so nothing really changed here).
x² +2*220²x +220² -220² +440² ( here , bold part can be rewritten as (x+220)²)
(x+220)² -220² +440² (calculating bold part)<span>
</span>(x+220)² -220² +440² = (x+220)² + 145200
Now we have x²+440x+440², in the form that we need
x²+440x+440² = (x+220)² + 145200
(x+b)²+c = (x+220)² + 145200,
b=220,
c= 145200
So,
c/b = 145200/220 = 660
c/b = 660/1 (if you need it in a fraction form) or 660.
Sorry but can we get a better shot of the paper can barley see it
C. 2 : 1, because the original ratio would be 8 : 4, but to get it to the correct ratio you must simplify the ratio to 2 : 1.