Question

The measure of c is ____?

3√5
or
3√13

Answer 1

3 sqrt(13) =c

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