#andy
cos `ABC =3/5 `
`=> AB/BC=3/5`
`=> AB=6=> AC=8`
sin` B= AC/BC=4/5` , tan `B= AC/AB=4/3`
`=> M=6/35`
`b, có AB^2=BH.BC=> BH=3,6 `
`=> BH/HC= 9/16`
`=> AB/DC =BH/HC=9/16`
`=> DC=32/3 `
`ABCD` là hình thang vuông
`=> SABCD= (AB+CD).AC:2=200/3`
c, chứng minh tam giác` AHE `đồng dạng `HBE`
`=> HE/BE=AE/HE `
`=> BE.AE=HE^2 `
CMTT `HF^2=AF.FC`
`=> AE.EB+AF.FC= HE^2+HF^2=EF^2=AH^2`