I don't understand how to figure out triangle lengths and utilizing slope to determine a kind of triangle, but my homework questions dictate it so.

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Question

I don't understand how to figure out triangle lengths and utilizing slope to determine a kind of triangle, but my homework questions dictate it so.

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ranga · Answer

The triangles are all similar.  So the lengths of the sides will all be proportional.

anonymous · Answer

Yes, but how does one calculate proportional? That's what I'm having trouble with. And I don't know how to apply that to the second question.

ranga · Answer

Triangles SWN and STP are similar.  Therefore, ST/SW = TP/WN
ST/SW = 3/4
Therefore, TP/WN = 3/4
TP/26 = 3/4
TP = 26 * 3 / 4 = ?

anonymous · Answer

Thank you! That was amazing! Thank you for putting it a lot more simply than how I was trying to figure it out.

ranga · Answer

You are very welcome.