Question

Find the length of the hypotenuse.

18

9√2

√18

18√2

Answer 1

18

Explanation:

The hypotenuse is BC.

According to the Pythagorean Theorem;

`BC^2=AC^2+AB^2`

Since the base angles are equal:

`AC=BC=9√(2)`

We substitute the given values into the formula to obtain:

`BC^2=AC^2+AB^2`

`BC^2=(9√(2))^2+(9√(2))^2`

`BC^2=81(2)+81(2)`

`BC^2=162+162`

`BC^2=324`

Take positive square root.

`BC=√(324)`

`BC=18`

Hence the hypotenuse is 18 units