Question

19. The Montgomery Park officials plan to construct a concession stand beside an access road. They will also construct asphalt pathways from the volleyball court and the tennis court to the concession stand. Describe how to determine where the concession stand should be to minimize the amount of asphalt needed. Include a diagram.

Answer 1

@ash2326

Answer 2

@frogs29

Answer 3

Do you have any figure along with the question?

Answer 4

yup it coming up

Answer 5

@dietrich_harmon Could you tell me the topic name for this question?

Answer 6

Geometry

Answer 7

@ash2326

Answer 8

I'm thinking :)

Answer 9

lol okay take ur time no rush

Answer 10

:) Thanks

Answer 11

Ok, I think I got it
The concession stand has to be besides the road, see my figure
V= Volley ball court
T=tennis court
C=concession stand

Answer 12

Do you understand the figure?

Answer 13

not really

Answer 14

OK, where do you have doubts?

Answer 15

i think i got it

Answer 16

i want u to check my answer for me

Answer 17

Okay, post it here

Answer 18

The tennis court is T, volleyball court is V, and the stand is S. you need to find S on access road VS+ST as small then Locate T is always the same size of the line of access road. because reflection of th isometry. ST = St, and VS +ST = VS +ST Triangle Inequality Theorem is to add Vs + ST smaller when V, S and T straight so S stand where VT line of the road.

Answer 19

Yeah, you got it right :)

Answer 20

but my teacher said this Work on my explanation

Answer 21

You know that
According to the triangle inequality theorem
\[VT< VS+ST\]
As the angle VST increases VS+ST decreases, when it becomes 180 S lies on VT, that time VS+ST is minimum