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In an isoceles triangle ABC, AB = AC. The bisector AD of angle A meets the side BC at D. The line perpendicular to AD through D meets AB at F and AC produced at E. Perpendiculars from B and D to AC are respectively BM and DN. If AE = 2016 units, find the length MN.

In an isoceles triangle ABC, AB = AC. The bisector AD of angle A meets  the side BC at D. The line perpendicular to AD through D meets AB at F and AC produced at E. Perpendiculars from B and D to AC are respectively BM and DN. If AE = 2016 units, find the  length MN.

Grade:9

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