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Mathematics 12 Online
OpenStudy (ibrafacts):

Need help

OpenStudy (ibrafacts):

Question

OpenStudy (ibrafacts):

U would divide this right?

OpenStudy (anonymous):

what we can do is set it up as a proportion again so we have 72/2 = 6x /1 and then cross multiply.

OpenStudy (ibrafacts):

so when ever i am doing these problems i use the 2/1

OpenStudy (anonymous):

ill draw a pic 1 sec

OpenStudy (ibrafacts):

okay

OpenStudy (anonymous):

|dw:1453345127625:dw|

OpenStudy (ibrafacts):

oh okay thx

OpenStudy (mathmale):

@brafacts: It's important that you state your goal in dealing with this problem.

OpenStudy (ibrafacts):

cant i just do 72 divide by 6 becuse you will get 12 and its faster too

OpenStudy (ibrafacts):

or does that only works sometimes?

OpenStudy (mathmale):

You haven't yet defined what you're looking for, so how would you know whether or not you've found the answer you wanted?

OpenStudy (ibrafacts):

we are looking for x

OpenStudy (mathmale):

that's better. How is 6x related to 72 in this diagram?

OpenStudy (ibrafacts):

thye are congurent

OpenStudy (ibrafacts):

you can set it up like this right 72=6x

OpenStudy (mathmale):

72 and 6x are not congruent. Better re-think that statement.

OpenStudy (ibrafacts):

i mean the shape are the got the lines

OpenStudy (mathmale):

the large triangle and the small one are NOT congruent. They are SIMILAR, however. I ask you again: Based upon this drawing, how are 72 and 6x related?

OpenStudy (ibrafacts):

thy are parallel

OpenStudy (mathmale):

That's correct, but their being parallel doesn't help you much in finding the value of x. How is length 72 related to length 6x?

OpenStudy (ibrafacts):

u can put an equal sign in the middle because they are on the same side

OpenStudy (mathmale):

Let's take a different perspective. Are the 2 triangles of the same size?

OpenStudy (ibrafacts):

no

OpenStudy (mathmale):

How much bigger is the larger triangle than the smaller one?

OpenStudy (ibrafacts):

72 times

OpenStudy (mathmale):

Actually, you had the answer to that question earlier. The ratio of (larger triangle) to (smaller triangle) is 2:1.

OpenStudy (mathmale):

therefore, 6x is 1/2 of what?

OpenStudy (ibrafacts):

12x

OpenStudy (mathmale):

We are comparing the vertical side of length 72 to the vertical side of length 6x. We seem to agree that 72 is not the same as 6x. Then, how is 6x related to 72, or how is 72 related to 6x?

OpenStudy (ibrafacts):

its enlarged

OpenStudy (ibrafacts):

its only similar

OpenStudy (ibrafacts):

its bigger by 12 times

OpenStudy (mathmale):

The larger altitude is twice the smaller altitude. How would you write an equation showing the relationship between 72 and 6x? Unfortunately, 12x would be incorrect; the larger triangle here is only twice as large as the smaller one, not 12 times larger.

OpenStudy (ibrafacts):

72=6x?

OpenStudy (mathmale):

But 72 is the height of the larger triangle. We've already seen that this height is twice the height of the smaller triangle. What's half of 72?

OpenStudy (ibrafacts):

36

OpenStudy (mathmale):

36 is the height of the smaller triangle. Can you now write an equation relating 36 and 6x?

OpenStudy (mathmale):

Both 36 and 6x refer to the altitude of the smaller triangle, right?

OpenStudy (ibrafacts):

yes

OpenStudy (mathmale):

then how are 36 and 6x related?

OpenStudy (ibrafacts):

|dw:1453346978464:dw|

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