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Mathematics 13 Online
OpenStudy (hellokitty17):

Help please and thank you! Will Medal!!

OpenStudy (hellokitty17):

The ABC Toy Company is creating two similar pieces for a board game, as shown below. Find the value of x that makes the two pieces similar. Numerical Answers Expected!

OpenStudy (hellokitty17):

@mary212129

OpenStudy (hellokitty17):

AB and DE?

OpenStudy (hellokitty17):

how do you do that?

OpenStudy (hellokitty17):

can you help me with that?

OpenStudy (hellokitty17):

@DanJS

OpenStudy (anonymous):

The ones that are similar to each other like you said were AB and DE put the numbers like say it was AB was 16 and DE was 18 you put it like 16/18 and u figure it out that way

OpenStudy (hellokitty17):

@Hero

OpenStudy (hellokitty17):

16/18 equals 0.88888889

OpenStudy (anonymous):

yes but in fraction form

OpenStudy (hellokitty17):

then what?

OpenStudy (hellokitty17):

@tkhunny help please

OpenStudy (anonymous):

what did u get then when u put it as fraction form?

OpenStudy (anonymous):

I am trying to explain best as i can okay sorry if it isn't helping

OpenStudy (hellokitty17):

can you lead me to the answer?

OpenStudy (priyar):

AB/DE=BC/EF=AC/DF (Ratio of Similar sides must be equal)

OpenStudy (priyar):

u were right about finding the similar sides! now just remember this property and apply it by susbstituting the no's given to u @HelloKitty17

OpenStudy (hellokitty17):

@AlexandervonHumboldt2

OpenStudy (priyar):

First do...AB/DE=BC/EF

OpenStudy (mathmale):

Kitty: Again, it will not profit you much, if at all, if you focus primarily on getting answers. Understanding is really important here. the two given triangles are similar, meaning that all angles in one are equal to the corresponding angles in the other. More importantly for you, here, all the sides are proportional. by now yo should be able to write simple proportions. the ratio of the lengths of the side DE to that of side AB is given by DE/AB. Their lengths are both given. What is the numerical ratio of the length of side DE to side AB?

OpenStudy (hellokitty17):

1:2? I have no idea. I have a hard time with math.

OpenStudy (priyar):

yes, AB/DE=6/12 =1/2 u r correct!

OpenStudy (priyar):

now what is BC/EF?

OpenStudy (mathmale):

Please focus on my questions and omit the "hard time with math." Why? Because thinking of yourself in a negative way is not going to help you. You've found the numerical ratio of AB to DE correctly; yes, it is 1/2, or 1:2.

OpenStudy (hellokitty17):

would it be the same for BC/EF then?

OpenStudy (mathmale):

What this means, Kitty, is that if you choose one side of the smaller triangle, and note its length, the correspoinding side in the larger triangle will be twice as long.

OpenStudy (mathmale):

Look at side BC. How long is it?

OpenStudy (priyar):

in a way.. BC/EF=7/x...now equate AB/DE= BC/EF what do u get?

OpenStudy (mathmale):

Kitty? I really need and want YOUR input. Please look at the diagram. Find side BC. Tell me and priyar how long it is.

OpenStudy (hellokitty17):

7

OpenStudy (priyar):

yes now how long is EF?

OpenStudy (mathmale):

Once you've identified the length of BC, we can find the length of EF by mult. the length of BC by 2. Kitty?

OpenStudy (hellokitty17):

14?

OpenStudy (priyar):

good job!

OpenStudy (hellokitty17):

OMG!!!! sorry that it took a long time!

OpenStudy (mathmale):

Right. Great. You doubled the length of BC to get the length of EF, because the ratio is 1/2.

OpenStudy (mathmale):

Move on now, please. See whether you can answer the remaining questions.

OpenStudy (hellokitty17):

Thank you so much for all the help!

OpenStudy (priyar):

Now do the same for.. AB/DE=AC/DF what do u get?

OpenStudy (hellokitty17):

I just need to find the value of x

OpenStudy (priyar):

oh great !

OpenStudy (hellokitty17):

see here. Find the value of x that makes the two pieces similar.

OpenStudy (hellokitty17):

this was the question. The ABC Toy Company is creating two similar pieces for a board game, as shown below. Find the value of x that makes the two pieces similar.

OpenStudy (mathmale):

Kitty, looks as tho' there was an illustration with this problem statement. Any chance that you could share the illustration with me and priyar?

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