The lengths of the legs of a right triangle are 6 cm and 3 cm.

How long is the hypotenuse?

Round the answer to the nearest tenth of a centimeter.

5.2

6.7

27

45

We will calculate the length of the hypotenuse using the Pythagorean theorem. Suppose that the hypotenuse = c, then:

c^2 = 6^2 + 3^2

c^2 = 36 + 9

c^2 = 45

c = square root of 45

c = square root of 9 * square root of 5

c = 3 * square root of 5; square root of 5 = approximately 2,24

c = 3 * 2,24 = 6,72 = 6,7

The correct answer is 6,7.