Respuesta :

16.1. Solve by using the Pythagorean Theorm. b squared+8 squared= 18 squared. b squared+64=324. Subtract 64 from both sides to get b squared=260. Square root 260 to get 16.1

Answer: A . 16.1

Step-by-step explanation:

In the figure we have a right triangle in which one of the leg's length is missing.

  • Pythagoras theorem of right triangles says that the square of hypotenuse is the sum of the squares of the two legs.

For the given triangle , we have[tex](18)^2=b^2+8^2[/tex]

i.e. [tex]\Rightarrow\ 324=b^2+64[/tex]

i.e. [tex]\Rightarrow\ b^2=324-64[/tex]

i.e. [tex]\Rightarrow\ b^2=260[/tex]

i.e. [tex]\Rightarrow\ b=\sqrt{260}=16.1245154966approx16.1[/tex]

Hence, the missing side = 16.1 units