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What is the Wolfram Alpha syntax for solving triangles?

Posted 9 years ago

I have some triangles that I would like to diagram and solve via Wolfram Alpha, but I haven't seen any clear syntax for initial triangle drawing and solving. To start simply, what would I enter to solve a right triangle with a hypotenuse of 46 and one angle being 24?

Clearly this page gives a simple example wherein you have all of the sides: https://www.wolframalpha.com/examples/Geometry.html

But it doesn't go into anything else more in-depth.

POSTED BY: George Plymale
3 Replies
Posted 9 years ago

Hi. In Mathematica, one could use Angle Angle Side.

AASTriangle[90 Degree,24 Degree, 46] //N

Triangle[{{0.,0.},{42.0231,0.},{0.,18.7099}}]
POSTED BY: Dana DeLouis

This is the corresponding input.

POSTED BY: Rodrigo Sambade
Posted 9 years ago

This doesn't seem to be a particularly satisfying solution, but it does get an answer in two steps

Triangle 90 degree 24 degree 66 degree

which calculates hypotenuse==.430982 p, x==.175296 p and y==.393722 p

then

{0.430982 p, 0.175296 p, 0.393722 p} = {46, x, y}

which calculates x == 18.7099 and y == 42.0231

<<<edit, typo corrected>>>

POSTED BY: Bill Simpson
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