Question

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AD is a median of triangle ABC. The bisector of angle ADB and angle ADC meet AB and AC in E and F respectively. Prove that EF is parallel to BC.

AD is a median of triangle ABC. The bisector of angle ADB and angle ADC meet AB and AC in E and F respectively. Prove that EF is parallel to BC.

Data representation

In triangle ABC, AD is perpendicular to BC. Prove that AB²-BD²=AC²-CD²

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