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Mathematics 15 Online
OpenStudy (anonymous):

What is the length of line MN? (Picture attached)

OpenStudy (anonymous):

OpenStudy (anonymous):

because the triangles are congruent you can set up a ratio

OpenStudy (anonymous):

How? I'm terrible at ratios.

OpenStudy (anonymous):

\[\frac{ MN }{ SN }=\frac{ RT }{ ST }\]

OpenStudy (anonymous):

64.4?

OpenStudy (anonymous):

Because the triangles are "similar" (they are not congruent because they are not the same, sry wrong term) the ratio between their sides should be equal.

OpenStudy (anonymous):

Idk I haven't done it

OpenStudy (anonymous):

28*23/33 whatever that is should be the answer

OpenStudy (anonymous):

But that would be 19.515151515151

OpenStudy (anonymous):

Then thats the answer

OpenStudy (anonymous):

look at the picture and think for one second. Is it possible for that line to be longer than the base of the larger triangle??

OpenStudy (anonymous):

\[\frac{ x }{ 23 }=\frac{ 28 }{ 33 }\]\[x=\frac{ 28 \times 23 }{ 33 }\]

OpenStudy (anonymous):

mn/28=23/(23+10) solve for mn

OpenStudy (anonymous):

i got 19.515151 which is reasonable :D

OpenStudy (anonymous):

Hm, I'm used to full numbers, I guess my teacher tried to through in a decimal at us this time. Thanks(:

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