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Mathematics 19 Online
OpenStudy (anonymous):

If ΔABE ~ ΔACD, find the value of y.

OpenStudy (anonymous):

OpenStudy (anonymous):

Corresponding parts of similar figures are proportional (their lengths are in the same ratio). Does that help?

OpenStudy (anonymous):

I dont understand any of it.... I was sick yesterday and my teacher wont let me take the book home so Im completely lost.....

OpenStudy (anonymous):

Ah, ok. here's an example |dw:1347650572147:dw| Those two triangles are similar if you can multiply a, b, and c by the same number to make a', b', and c' Or in other words, all the ratios a'/a, b'/b, and c'/c are the same.

OpenStudy (anonymous):

|dw:1347650720117:dw|

OpenStudy (anonymous):

|dw:1347650815235:dw| Here, 15/13 is not the same as 9/5 or 12/12. Since there is no common ratio, those triangles are not similar.

OpenStudy (anonymous):

In your example, we are told that the triangles are similar, so the ratio of the corresponding sides of the big triangle to the small triangle is 10:6 or 5/3. That means that the ratio of AD (big triangle) to AE (small triangle) is also 5:3.

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