Maths......

2007-04-04 3:59 am

Please show the solution method.

回答 (3)

2007-04-04 4:11 am
✔ 最佳答案
DE//BD

=>△KDE~△KCB

=>KD:KC=KE:BK}

KD=2,KE=3,KC=5,KB=b}

=>b=(3*5)/2=7.5


DE//BD

=>△KDE~△KCB

=>KD:KC=DE:BC}

KD=2,KC=5,DE=4,BC=a}

=>a=(5*4)/2=10


DE//BD

=>△ADE~△ABD

=>AD:AB=ED:BC}

AD=5,AB=(5+c),ED=4,BC=a=10}

=>5+c=(5*10)/4=12.5

=>c=7.5
2007-04-04 4:09 am
angle deb=ebc(de parallel to bc)
angle edk=kcb(de parallel to bc)
angle dke= bkc(vert. opp angle)
therefore triangle deb similar to ebc(aaa)

cb/dk = ed/kc
a/2 = 4/5
a=2.5

bk/ek=ed/kc
b/3=4/5
b=2.4

c唔記得點做
2007-04-04 4:06 am
a/4=5/2
a=10

b/3=5/2
b=7.5

4/a=5/(5+c)
4/10=5/(5+c)
c=7.5


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