Answer:
5√5
Explanation:
The Pythagorean theorem is a^2 + b^2 = c^2. So in this case just plug in for known variables:
5^2 + 10^2 = c^2
Now solve for c:
25 + 100 = c^2
125 = c^2
√125 = √c^2
√125 = c
Now we must put our answer in simplified radical form. For this we have to think, what number can be divided out of 125, is a perfect square (has a square root as a whole number), and divides so that a whole number is left? How about 25?
125 / 25 = 5
now we have √25 · √5 = c
We know the square root of 25 so lets write this out in simplest form:
5√5 = c
