Bạn tự vẽ hình ik nha

a. Xét tam giác ABD và tam giác ACE có:

góc D = góc E = 90* (gt)

AB = AC (gt)

góc A chung

=> tg ABD = tg ACE (c. huyền-g. nhọn)

b. Vì H là giao điểm của 2 dường cao BD và CE 

Nên AH cũng là đường cao cùa tg ABC hay AH vuông góc BC

Do tg ABC là tam giác cân => AI là đường cao đồng thời cũng là dường trung tuyến => BI = CI => I là trung điểm của BC

c.Ta có: góc ACE = góc ABD (doc tg ABD = tg ACE)

 và góc ABC = góc ACB

=> góc DBC = góc ECB

 Ta có: BD vuông góc AC (gt)

              CF vuông góc AC (gt)

=>          CF song song BD (2 dường thẳng cùng vuông góc với 1 dường thẳng)

=>      góc DBC = góc BCF ( so le trong)

Mà góc DBC = góc ECB

=> góc ECB = góc BCF

=> BC lá tia phân giác của góc ECF

tu ve hinh :

tamgiac ABC co : 

AB = 7,2 => AB² = 7,2² = 51,84

BC = 12 => BC² = 12² = 144

AC = 9,6 => AC² = 9,6² = 92,16

=> AB² + AC² = 51,84 + 92,16 = 144 = BC²

=> tamgiac ABC vuong tai A (dinh ly Py-ta-go dao)

uôi dài v**

ủa r viết ngần đó thì mất bn tg thek

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