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Mathematics-Online problems:

Interactive Problem 128: Length of Sides, Angle, Area of a Triangle

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Consider the triangle with vertices

$\displaystyle A=(2,-1,2),\quad B=(-1,5,-1),\quad C=(0,1,2).$

Compute the length of all sides, the angle $ \sphericalangle(\overrightarrow{AB},\overrightarrow{AC})$ and the aera of the triangle.

Antwort:
$ \big\vert\overrightarrow{AB}\big\vert^2=$,     $ \big\vert\overrightarrow{BC}\big\vert^2=$,     $ \big\vert\overrightarrow{AC}\big\vert^2=$,     $ \sphericalangle(\overrightarrow{AB},\overrightarrow{AC})=\pi/$.
Square of the area of the triangle: .


   

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  automatically generated: 2/ 6/2018