The measure of c is ____?
3√5
or
3√13

Answer:
3 sqrt(13) =c
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 +b^2 = c^2
where a and b are the legs and c is the hypotenuse (opposite the right angle)
6^2 +9^2 = c^2
36+81 = c^2
117 = c^2
Take the square root of each side
sqrt(117) = sqrt(c^2)
sqrt(9)sqrt(13) = c
3 sqrt(13) =c