How do you determine the height of a triangle, knowing the lengths of all the sides, without knowing the area or angles?

Question

nottim · Answer

well, i guess the angles are given if you do a little work.

jdoe0001 · Answer

hmm that sounds very ambiguous

jdoe0001 · Answer

because 3 sides or legs, can give you a huge variety of triangles and thus a huge variety of altitudes

nottim · Answer

I just used random values, like 3 and 2.

nottim · Answer

The third length would be 3.605, because this is a right angle triangle.

jdoe0001 · Answer

hmmm  well... maybe .. not huge... .but ... ahemm still a bit ambiguous....I'd think

jdoe0001 · Answer

ohh    is a right-angle... ok... so we know that much

nottim · Answer

Well, this is related to  the  Bhaskara diagram, if that helps. I wann know the size of the rectangle within.

jdoe0001 · Answer

right-triangle rather

jdoe0001 · Answer

hmm dunno.... it's easier with a screenshot of the material though

nottim · Answer

jdoe0001 · Answer

I saw that....  just not specific for this context

nottim · Answer

Sorry, that's as specific as I can. Uh, i'm trying to find the length of the side of square in the middle