Question

The lengths of the legs of a right triangle are 6 cm and 8 cm What is the length of the hypotenuse?

Answer 1

The hypotenuse is 10 cm long.

Explanation:

We can find the hypotenuse by using the following formula where "c" is the length of the hypotenuse and "a" and "b" are the lengths of the legs.

`c = \sqrt{a^(2) + b^(2) }`

Now we just substitute the values and get...

`c = \sqrt{a^(2) + b^(2) }\\c = \sqrt{6^(2) + 8^(2) } \\c = √(36 + 64) \\c = √(100) \\c = 10`

Therefore the hypotenuse is 10 cm long.