Respuesta :

Answer:

x = [tex]\sqrt{14}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in both tight triangles.

First in the small triangle to find the third side ( hypotenuse ) h

h² = 1² + 1² = 1 + 1 = 2 ( take square root of both sides )

h = [tex]\sqrt{2}[/tex]

Now use the identity in the larger right triangle

x² + h² = 4²

x² + ([tex]\sqrt{2}[/tex] )² = 16

x² + 2 = 16 ( subtract 2 from both sides )

x² = 14 ( take square root of both sides )

x = [tex]\sqrt{14}[/tex]

ACCESS MORE
EDU ACCESS