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Answer:
3 sqrt(13)
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
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*13) = c
sqrt(9) sqrt(13) =c
3 sqrt(13) =c