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Mathematics 15 Online
OpenStudy (anonymous):

If AB = 3, AD = 5, and DE = 6, what is the length of BC?

OpenStudy (anonymous):

choices:3.5, 3.6, 3.4, 4. given: line BC and line DE are parallel to each other.

OpenStudy (anonymous):

I can't do this....

OpenStudy (anonymous):

I'm dumb...

OpenStudy (anonymous):

are there more knowns?

OpenStudy (anonymous):

Um... im looking, but I dont think so. is the image visible?

OpenStudy (anonymous):

yes.

OpenStudy (anonymous):

well, it's with proportion, angle A is the same for both triangles, and BC and DE are parallel. Thats about all I can find sorry

OpenStudy (anonymous):

that means they're similar so they have to scale some how..

OpenStudy (anonymous):

their angles should be the same just different sides

OpenStudy (anonymous):

yes so this is a question of scaling.

OpenStudy (anonymous):

best guess is 3.6 tbh.

OpenStudy (anonymous):

yes it's 3.6

OpenStudy (anonymous):

3:5, x:6 i think if I remember correctly

OpenStudy (anonymous):

really? could you explain?

OpenStudy (anonymous):

yes.

OpenStudy (anonymous):

the thing is AD=5 and AB=3

OpenStudy (anonymous):

so x:6 was right?

OpenStudy (anonymous):

so you know one side of the big triangle and you know one side of the small triangle.

OpenStudy (anonymous):

Yes that are similar sides

OpenStudy (anonymous):

with similar sides, the scale should be through out the triangle no matter which sides you are comparing if I'm not mistaken.

OpenStudy (anonymous):

3/5=x/6?

OpenStudy (anonymous):

that is correct

OpenStudy (anonymous):

yes that's my guess.

OpenStudy (anonymous):

I hope that's sufficient.

OpenStudy (anonymous):

I see thank you because 3:5= 60%, so 60% of x is 3.6 thank you so much!

OpenStudy (anonymous):

That was very useful thank you for explaining

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