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51问答网 > 在△ABC中，已知AB=AC=5，BC=6，点D、E分别在边BC、AC上，且∠ADE=∠B，当BD的长为______时，△ADE是等腰

在△ABC中，已知AB=AC=5，BC=6，点D、E分别在边BC、AC上，且∠ADE=∠B，当BD的长为______时，△ADE是等腰

2025-03-14 22:04:10

推荐回答（1个）

回答1：

AB=AC=5，
∴∠B=∠C=∠ADE．
∵BD=1时，DC=AC=5，
∴∠DAC=∠ADC=∠ADE+∠EDC．
∵∠AED=∠EDC+∠C=∠EDC+∠ADE，
∴∠DAE=∠DEA，
DA=DE，
当BD的长为 1时，△ADE是等腰三角形．
故答案为：1．

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