Soit la figure suivante :
{"init": {"range": [[-1.25, 11.25], [-1.25, 8.582121111929345]], "scale": [20, 20]}, "label": [[[0.0, 0.0], "F", "below left", {"color": "red"}], [[10.0, 0.0], "G", "below right", {"color": "red"}], [[6.8, 7.332121111929345], "H", "above", {"color": "red"}], [[5.429620027895934, 5.854504652395614], "I", "above", {"color": "red"}], [[7.444884692754855, 5.854504652395614], "J", "above right", {"color": "red"}]], "line": [[[5.429620027895934, 5.854504652395614], [7.444884692754855, 5.854504652395614], {"subtype": "segment"}], [[0.0, 0.0], [10.0, 0.0], {"subtype": "segment"}], [[6.8, 7.332121111929345], [5.429620027895934, 5.854504652395614], {"subtype": "segment"}], [[6.8, 7.332121111929345], [0.0, 0.0], {"subtype": "segment"}], [[6.8, 7.332121111929345], [7.444884692754855, 5.854504652395614], {"subtype": "segment"}], [[6.8, 7.332121111929345], [10.0, 0.0], {"subtype": "segment"}]]}
Sachant que \(F\), \(I\), \(H\) sont alignés, \(H\), \(J\), \(G\) sont alignés et que \((IJ)\) \(//\) \((FG)\), compléter l'égalité :
\[?=\dfrac{IJ}{FG}=\dfrac{HJ}{HG}\]
On écrira uniquement ce qui devrait être écrit à la place du "?".