Question

Help?

The diagram below models the layout at a carnival where G, R, P, C, B, and E are various locations on the grounds. GRPC is a parallelogram.

Parallelogram GRPC with point B between C and P forming triangle GCB where GC equals 375 ft, CB equals 325 ft, and GB equals 425 ft, point E is outside parallelogram and segments BE and PE form triangle BPE where BP equals 225 ft.

Part A: Identify a pair of similar triangles. (2 points)

Part B: Explain how you know the triangles from Part A are similar. (4 points)

Part C: Find the distance from B to E and from P to E. Show your work. (4 points)

Answer 1

@carmelle are you busy or can you help with one more?

Answer 2

A: PEB, GCB
B: they both have 3 sides, they bother have the angle B
I am not sure for question C

Answer 3

are you sure those are right?

Answer 4

maybe, i can't check my own work

Answer 5

lol alright

Answer 6

@carmelle

Answer 7

might want someone else's opinion

Answer 8

Politely disagree with part A @iliketoeatchildren

P is not a similar triangle to G

Let's try using the triangle BGC instead, which triangle is similar (they have to be in the correct order as well) @isuckatmath101

Answer 9

okay

Answer 10

pbe or peb, im not good at orders

Answer 11

BEP actually

I think that you should draw out the triangles like last time to help you. I'll do it for you :)

For part B, we need to show how they are similar, are you familiar with the SSS theorem?

Answer 12

side side side

Answer 13

yup, what does it mean?

Answer 14

when 3 sides are congruent then the triangles are congruent

Answer 15

yes 👏

now, can you find the sides? the picture should help ;o

Answer 16

BG - BE, BC - BP, GC - EP

Answer 17

great :D

Now for part C, we will set up two proportions... do you have an idea of what they will look like or would you like me to walk you through it as well?

Answer 18

walk through? like last time

Answer 19

ok, so for this one, we know a lot of values so it will be easier...

Lets start with BE:

\[\frac{ BE }{ BG } = \frac{ PB }{ BC }\]

Can you plug in the values and solve them?

Answer 20

x/425 = 225/325

Answer 21

x/425 = .6923076923

Answer 22

idk what to do now...

Answer 23

wait no... you had it.. you just have to solve for x,

x/425 = 225/325

Answer 24

remember, to cross multiply

Answer 25

so i can cross multiply 425 with .6923076923?

Answer 26

not quite... does setting up the equation like this help?

\[\frac{ x }{ 425 } =\frac{ 225 }{ 325 }\]

Answer 27

325x = 95625

Answer 28

so now what?

Answer 29

divide by 325 on both sides?

Answer 30

yea, so now solve for x by dividing both sides by 325, you will get a fraction btw

Answer 31

294.230769231

Answer 32

i got decimal, cs im using a calculator

Answer 33

oh... just use an online calculator because working with decimals is hard lol

Answer 34

i cant find a calculator online

Answer 35

for this kind of fraction

Answer 36

try mathpapa.com

Answer 37

x= 3825/13?

Answer 38

yup, so you can say

BC = 3825/13 or294 3/13

both can work ^^^

Now to find PE, you will do

\[\frac{ PB }{ BC } = \frac{ PE }{ BG }\]

you can solve from there, right?

Answer 39

idk yet

Answer 40

x = 3825/13

Answer 41

its the same thing...

Answer 42

there is no way

Answer 43

BE looks longer

Answer 44

you there?

Answer 45

@carmelle

Answer 46

wait... hold on one sec, lemme recheck, i think i might have done the proportion wrong, im sorry

Answer 47

its okay

Answer 48

yea, i just rechecked, and i made a mistake, im so sorry.

it should be:

\[\frac{ PE }{ GC }=\frac{ BP }{ BC }\]

Answer 49

3375/13?

Answer 50

yep, thats correct.

PE = 3375/13

Answer 51

can you convert that

Answer 52

its not letting me

Answer 53

oh sure, that would be 259 8/13

Answer 54

ty sm

Answer 55

you were a very big help today

Answer 56

np and thank you for catching my mistake, i appreciate it :)

Answer 57

:)