Question

I need help figuring this out of the geometric mean of this word problem. I'll draw the figure out. Medal will be rewarded for your patronage! :D

Answer 1

How far from Blare should the service station be located, so that the proposed road will perpendicular to the highway?

How long will the new road be?

Answer 2

@TuringTest

Answer 3

\[\frac{ AD }{ AC }=\frac{ AC }{ AB }\]
\[(AC)^{2}=AD*AB\]
\[40^{2}=(50-x)50\]
1600=2500-50x
50x=2500-1600=900
x=900/50=18
service station is 18 miles from blare

Answer 4

triangles are similar.