Respuesta :

Answer: √300.89 or 17.3

Step-by-step explanation:

a^2 + b^2 = c^2

6.7^2 + b^2 = 16^2

b^2 = 16^2 - 6.7^2

= 256 - 44.89

b = √211.11 = 14.5

here to this question we have to use Pythagoras theorem that is

[tex] {a}^{2} + {b}^{2} = {hypotnuse}^{2} [/tex]

here,

a=6.7

b=x (cuz' we don't know it's value)

c= hypotenuse =16

now, substitute these values in the above formula then we get,

[tex] {6.7}^{2} + {x}^{2} = {16}^{2} \\ = 14.529[/tex]

as the answer should be given to 1 decimal place we get 14.529