The problem does not specify what is teh right angle of triangle, hence, supposing that A is the right angle, hence, the leg c is opposed to the angle A and it represents the hypotenuse.
Using Pythagora's theorem yields:
c^2 = a^2 + b^2 => c^2 = 5^2 + 17^2
c = sqrt(25 + 289) => c = sqrt314 => c = 17.72
Hence, evaluating the measure of hypotenuse yields c = 17.72.
If a and b are the legs and c is the hypotenuse, we can find this using the Pythagorean Theorem. This theorem says that
a^2 +b^2 = c^2
So then we have
5^2 + 17^2 = c^2
25 + 289 = c^2
c^2 = 314
c = 17.72
Golden rule C2 = A2 + B2. I actually found a pythagorean calculator on http://www.thexorb.com/Algebra/Pythagorean/Pythagorean-Theorem-Calculation.aspx . I am on 10th grade and I use the calculator to valide my answer if i get stuck. Check it out cool stuff
We suppose that B is the biggest length of the triangle, so b is the hypotenuse.
b = 17
That means c is the length of one of legs of triangle. The other leg is a = 5.
We'll apply the Pythagorean theorem and we'll get:
b^2 = a^2 + c^2
To determine c, we'll separate it. For this reason, we'll subtract a^2 both sides:
c^2 = b^2 - a^2
c^2 = 289 - 25
c^2 = 264
c = 2sqrt 66
We'll keep only the positive value for c.