The legs of a right triangle are 3 units and 6 units. what is the length of the hypotenuse?

The length of the hypotenuse is

Step-by-step explanation:

For a straight triangle it is true that

Where has is the hypotenuse of the right triangle and a and b are the lengths of the other two sides.

In this case we know that:

So the hypotenuse is:

ANSWER

The hypotenuse is 3√5 units.

EXPLANATION

We use the Pythagoras Theorem.

Let h be the hypotenuse.

The Pythagoras Theorem says that, the hypotenuse square is equal to the sum of the squares of the two shorter legs.

Take positive square root.

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680