Answer:
x=20
Step-by-step explanation:
The Pythagorean theorem is [tex]a^2+b^2=c^2[/tex], where a and b are the legs (the smaller sides) and c is the hypotenuse. So, plugin 12 and 16 for a and b, then solve. This looks like [tex]12^2+16^2=c^2[/tex]. Next, simplify the equation, [tex]12^2[/tex]=144 and [tex]16^2[/tex]=256; then add 144+256. The new equation is 400=[tex]c^2[/tex]. The final step is to take the square root of both sides. Since [tex]\sqrt{400} [/tex]=20, x (the hypotenuse) must equal 20.
