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Last edited by 青青子衿 at 2020-2-16 23:34:00Graphics[{Red, Triangle[{{0, 0}, {-(2805920/5329), -(4867200/5329)},
{189805/169, -(214200/169)}}],
Blue, Triangle[{{0, 0}, {715, 0}, {189805/169, -(214200/169)}}],
Yellow, SSSTriangle[148, 577, 715], Black,
Circumsphere[SSSTriangle[148, 577, 715][[1]]]}]
\begin{gather*}
\begin{matrix}
A\left(0,0\right)&\qquad\qquad\,B\left(575,48\right)&\qquad\qquad\,C\left(715,0\right)\\
\\
\end{matrix}\\
\begin{matrix}
D\left(\dfrac{189805}{169},-\dfrac{214200}{169}\right)&&E\left(-\dfrac{2805920}{5329},-\dfrac{4867200}{5329}\right)
\end{matrix}
\end{gather*}
\begin{align*}
AB&=577&CD&=\dfrac{17310}{13}&DE&=\dfrac{1601175}{949}\\
BC&=148&AD&=\dfrac{22015}{13}&AE&=\dfrac{76960}{73}\\
AC&=715
\end{align*}
DistanceMatrix[{{0, 0}, {575, 48}, {715, 0}, {189805/169,
-(214200/169)}, {-(2805920/5329), -(4867200/5329)}},
DistanceFunction -> EuclideanDistance] // MatrixForm |
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