The hypotenuse of a right triangle is 11 units long, and one leg of the triangle is 5 units long. How long is the third side of the triangle?
A. 6 units
B. 46√ units
C. 146−−−√ units
D. 96 units

We can use a^2 + b^2 = c^2

5^2 + b^2 = 11^2

25 + b^2 = 121

b^2 = 96

b = 4√6

B. 4√6 units

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.