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As shown in the figure, ABC, AB are equal to 10 cm, BC is equal to 7 cm, AC is equal to 6 cm. Fold the triangle along the straight line passing through point B so that point C falls at point E on the edge of AB, and the crease is BD. calculate the perimeter of the triangle AED
∵△ BCD folds along BD to △ bed
∴△BCD≌△BED
∴BE＝BC,DE＝CD
∵BC＝7
∴BE＝7
∵AB＝10
∴AE＝AB-BE＝10-7＝3
∵L△AED＝AE+AD+DE
∴L△AED＝AE+AD+CD＝AE+AC
∵AC＝6
∴L△AED＝3+6＝9（cm）
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