Question

In ∆ABC, DE|| BC, If AD=7cm, BD=5cm and AC=18cm, then find CE​

Answer 1

Answer:

7.5cm

Step-by-step explanation:

In ΔABC and ΔADE

angle ADE = angle ABC (DE||BC) (corresponding angle)

angle AED=angle ACB (simillarly)

ΔABC~ΔADE (by AA similarity)

AD/AB=AE/AC=DE/BC (CPST)

ATQ

AD/AB=AE/AC

7/(7+5)=AE/18

7/12=AE/18

7*18=AE*12

126/12=AE

10.5cm=AE

AE+CE=AC

10.5+EC=18

CE=18-10.5

CE=7.5cm