a: HB/HC=25/36
=>HB/25=HC/36=k
=>HB=25k; HC=36k
HC*HB=AH^2
=>900k^2=900
=>HB=25cm; HC=36cm
AB=căn 25*61=5*căn 61cm
AC=căn 36*61=6*căn 61(cm)
tan B=AC/AB=6/5
=>góc B=50 độ
=>góc C=40 độ
b: góc B=180-40-25=180-65=115 độ
AB/sinC=AC/sinB=BC/sinA
=>10/sin25=AC/sin115=BC/sin40
=>AC=21,45cm; BC=15,21cm