a: AB^2=BH*BC
=>BH(BH+16)=225
=>BH=9cm
=>BC=25cm
AC=căn 25^2-15^2=20cm
AH=căn 9*16=12cm
b: Đặt HB=x; HC=y
=>x+y=25 và xy=144
=>(x,y)=(16;9) hoặc (x,y)=(9;16)
TH1: BH=16cm; CH=9cm
=>AH=12cm; AB=căn 16*25=20cm; AC=15cm
TH2: BH=9cm; CH=16cm
=>AH=12cm; AB=15cm; AC=20cm
c: BC=căn 6^2+8^2=10cm
AH=6*8/10=4,8cm
HB=6^2/10=3,6cm
HC=10-3,6=6,4cm