Respuesta :

Answer:

a ≈ 5.3

Step-by-step explanation:

Using Pythagoras' theorem

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

a² + 6² = 8², that is

a² + 36 = 64 ( subtract 36 from both sides )

a² = 28 ( take the square root of both sides )

a = [tex]\sqrt{28}[/tex] ≈ 5.3 ( to the nearest tenth )