Respuesta :

Answer:

4

Step-by-step explanation:

The first thing you need to do is find the geometric mean between 2 and 6.

That is the ratio that they hypotenuse of the largest triangle is divided into.

altitude^2 = 2* 6

altitude^2 = 12

altitude = sqrt(12)

altitude = 2 sqrt(3)

Now use Pythagorus to find x

x^2 = 2^2 + altitude^2

x^2 = 2^2 + 12

x^2 = 4 + 12

x^2 = 16

x = 4