Here are a few online tools that you can use to complete investigations:
This British website from Nrich is a trigonometric protractor that allows you to investigate how triangles are related to circles and also allows you to draw and measure triangles.
This applet is actually for looking at similar and congruent triangles (which might be relevant to your question) but is also useful for looking at one triangle at a time.
This collection of tools is more limited in how you can create your triangle, but might be applicable to your questions.
This site from Interactivate is really useful for looking at right triangles with integer lengths less than 10. If you have trouble getting to it (sometimes it asks you to log-in) just go to http://www.shodor.org/interactivate/ and search for "squaring" then choose the activity.
If you find other helpful sites, let me know and I will include them in a later post.
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