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The first volume of the ninth grade mathematics full-effect learning proves that (2) mathematics in life is urgent online! ! !
AE= 100m, AD=200m, so AE: AD = 1: 2, AED=90, so EAD=60.

So the angle BDF = 60°, BF= root number 3 *DF≈ 173.2m, CF=DE= root number 3 * AE ≈173.2m.

1) If the bridge is built in D, the distance between AB is AD+DF+FB = 200+100+173.2 = 473.2m..

2) If the bridge is repaired in E, the distance between AB is AE+EC+CF+FB =100+100+173.2+173.2 = 546.2m..

Therefore, repairing the bridge in D can make the distance between AB shortest, and the shortest distance is 473.2m m..

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