missingFind the missing length for the right triangle: a   =   5 b   =   17 c   =   ________

Expert Answers
sciencesolve eNotes educator| Certified Educator

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.

pohnpei397 eNotes educator| Certified Educator

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

debjagan | Student

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

giorgiana1976 | Student

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.