Question

What is the length of the hypotenuse of the triangle below?​

Answer 1

Answer:

Step-by-step explanation:

So here we have a 45-45-90 triangle.

This a special right triangle were the sides across from the 45 degree angles can be considered x, while the hypotenuse is two square roots of x.

Here since we have the sides across from the 45 degree angle we can conclude that $x = 9\sqrt{2}$

So if we wanted the hypotenuse we would just plug in this value of x like so:

$hyp = x\sqrt{2}$

$hyp = (9\sqrt{2})(\sqrt{2})$

$hyp = 9(2)$

$hyp = 18$

Therefore the hypotenuse is 18.