Question

Find the length of the hypotenuse.

18

9√2

√18

18√2

Answer 1

Answer:

18

Step-by-step explanation:

The hypotenuse is BC.

According to the Pythagorean Theorem;

$BC^2=AC^2+AB^2$

Since the base angles are equal:

$AC=BC=9\sqrt{2}$

We substitute the given values into the formula to obtain:

$BC^2=AC^2+AB^2$

$BC^2=(9\sqrt{2})^2+(9\sqrt{2})^2$

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

$BC^2=162+162$

$BC^2=324$

Take positive square root.

$BC=\sqrt{324}$

$BC=18$

Hence the hypotenuse is 18 units