Question

Find the length of the third side. If necessary, write in simplest radical form.

Answer 1

Answer:

6

Step-by-step explanation:

This is a right triangle, and so the Pythagorean Theorem applies.  The legs of this triangle are 3√3 and 3; squaring these gives us 9(3) = 27 and 9.  Then, this Theorem gives us the length of the hypotenuse as

h^2 = 27 + 9, or h^2 = 36, so that h, the length of the hypotenuse, must be 6.