Cau 1: Cho tam giac ABC cuong tai A, AB=8cm; AC=15cm. Ve duong cao AH
a) chung minh AB^2= BH. BC
b) Tinh BH, CH, AH, BC
c) Ve phan giac AD cua tam giac ABC. Chung minh H nam giua B va D
d) Tinh ti so dien tich D HAC va D A.BC
Cau 2: Cho tam giac ABC vuong tai A, AB=5cm; Ac=12cm, ve duong cao AH va duong phan giac AD.
a) Tinh BC, BD
b) Chung minh D ACH: D ABC; tinh AH
c) Qua B ke duong thang vuong goc voi AB cat tia AD tai K. Chung minh AB.AD =AC. KD
.Cau 3: Cho tam giac ABC vuong A co AB = 5cm; AC=12cm. Ve dcao AH va pgiac AD cua goc BAC
a) Tih BC; BD
b) Chung minh D HAC : D ABC
c) Qua B ke duong vgoc voi BA cat AD tai k. Chung minh AB.AD= AC.KD
cho tam giac abc vuong tai a, duong cao ah
a. chung minh tam giac hba dong dang voi tam giac abc
b. chung minh ah^2 =hb* hc
c. tia phan giac cua goc ahc cat ac tai d . chung minh \(\frac{hb}{hc}\)=\(\frac{ad^2}{dc^2}\)
Cho tam giac ABC deu co canh dai 12cm, goi M la trung diem cua BC, lay diem D tren canh AB, diem E tren canh AC sao cho AD = 3cm, AE = 8cm
a) chung minh tam giac MBD dong dang voi tam giac ECM
b) tinh goc DME va ty so ME/MD
c) chung minh tam giac MBD dong dang voi tam giac EMD
d) chung minh DM la tia phan giac cua goc BDE
1. Cho hinh thang ABCD , phan giac cua goc A cat duong cheo BD tai E va phan giac goc B cat AC tai F . Chung minh EF //AB?
2.Cho tam giac ABC , cac tia phan giac cua goc B va goc C cat nhau tai O . Tu A ve duong thang vuong goc voi OA cat BO , CO lan luot tai M va N . Chung minh BM vuong goc voi BN , CM vuong goc voi CN?
3.Cho goc vuong xOy ,vaf tam giac ABC vuong tai A (B thuoc Ox ,AC thuoc Oy,A va O nam tren hai nua mat phang doi nhau co bo la BC ).chung minh OA la tia phan gic cua xOy ?
cac ban giup mik nha
cho tam giac abc vuong tai a duong phan giac bd biet ab = 6 ac =8 tinh ad dc goi k la giao diem cua duong cao ah ba bd chung minh tam giac ahb dong dang voi tam giac cab chung minh abk dong dang voi tam giac bad tu do suy ra ab*bk = bd*hb giup mik voi
cho tam giac ABC vuong tai A co duon cao AH bik HC=16cm BC=25cm
a) Cm tam giac AHC dong dang vs tam giac BAC
b) cm AB2=BC.HB va tinh AB
c) p/g goc ABC cat AH tai M va cat AC tai N.Tu H ke duong thang // vs MN cat AC tai K cm AH=AK
cho tam giac ABC co AB=5cm,AC=12cm va BC=13cm.ve duong cao AH, trung tuyen AM(H,M thuoc BC)va MK vuong goc voi AC.Chung minh:
a,tam giac ABC vuong
b,tam giac AMC can
c,tam giac AHB dong dang voi tam giac AKM
d, AH.BM=CK.AB
cau 1 cho tam giac can abc co ab=ac=17 va bc=30 ve ra ngoai tam giac abc tam giac bcd voi cbd=90 do va cd song song voi ab tinh do dai bd
cau 2 cho tam giac abc co goc b =70 do goc c =40 do cac duong cao bd va ce cat nhau tai h goi i la trung diem cua ah m la giao cua tia phan giac goc eid voi bc tinh goc imd
cho tam giac ABC vuong tai,duong cao AH,biet HB=25cm,HC=36cm,AH=30cm.
a/ chung minh tam giac HBA dong dang voi tam giac HAC.
b/tinh do dai cac doan thang AB,BC,AC