If the legs of a right triangle are 3 and 6, what is the length of the hypotenuse? Round your answer to the nearest thousands if needed be

6.708.

The Pythagorean theorem for finding the hypotenuse of a right triangle is a^2 + b^2 = c^2. So the equation goes as follows.

a^2 + b^2 = c^2

(3) ^2 + (6) ^2 = c^2

9 + 36 = c^2

45 = c^2

C = 6.708

6.708

You can find this using the a^2 + b^2 = c^2 method, substituting the length of the legs for a and b, while solving for c.