Respuesta :

Answer:

b = [tex]\sqrt{45}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle on the left.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 6² = 9²

b² + 36 = 81 ( subtract 36 from both sides )

b² = 45 ( take the square root of both sides )

b = [tex]\sqrt{45}[/tex]