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

Question

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

anonymous · Answer

attachment

anonymous · Answer

because the triangles are congruent you can set up a ratio

anonymous · Answer

How? I'm terrible at ratios.

anonymous · Answer

$$\frac{ MN }{ SN }=\frac{ RT }{ ST }$$

anonymous · Answer

64.4?

anonymous · Answer

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.

anonymous · Answer

Idk I haven't done it

anonymous · Answer

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

anonymous · Answer

But that would be 19.515151515151

anonymous · Answer

Then thats the answer

anonymous · Answer

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??

anonymous · Answer

$$\frac{ x }{ 23 }=\frac{ 28 }{ 33 }$$$$x=\frac{ 28 \times 23 }{ 33 }$$

anonymous · Answer

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

anonymous · Answer

i got 19.515151 which is reasonable :D

anonymous · Answer

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