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Tangentes dans un triangle

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Code source latex \documentclass[border=5mm]{standalone} \usepackage{tkz-euclide} \usetkzobj{all} \begin{document} \begin{tikzpicture} \tkzSetUpPoint[shape = circle,color = black,size = 5,fill = white] \tkzInit[xmin=0,ymax=6] \tkzClip[space=.5] \tkzDefPoint(0,0){B}\tkzDefPoint(-1,0){O} \tkzDefPoint(70:5.5){A} \tkzDefPointBy[projection= onto O–B](A) \tkzGetPoint{H} \tkzDefMidPoint(A,H) \tkzGetPoint{H’} \tkzDefLine[orthogonal=through A](B,H’) \tkzInterLL(A,tkzPointResult)(B,H) \tkzGetPoint{C} \tkzDefPointBy[projection= onto A–C](B) \tkzGetPoint{H »} \tkzLabelPoints[above](A) \tkzLabelPoints[below](B,C) \tkzDrawSegment[style=dashed](A,H) \tkzDrawSegment[style=dashed](B,H ») \tkzMarkSegments[mark=s||,color=red](A,H’ H’,H) \tkzDrawPolygon(A,B,C) \tkzMarkRightAngle(A,H,C) \tkzMarkRightAngle(B,H »,C) \tkzDrawPoints(A,B,C,H,H’,H ») \tkzMarkAngle[fill= yellow,size=1cm,opacity=.3](C,B,A) \tkzMarkAngle[fill= orange,size=1cm,opacity=.3](A,C,B) \tkzLabelAngle[pos = .7](C,B,A){\color{black}{\mbox{\Large$\beta$}}} \tkzLabelAngle[pos = .7](A,C,B){\color{black}{\mbox{\Large$\gamma$}}} \tkzText[draw=brown](3,6){Montrer que : $\tan \beta… Read more »