Question

In the adjoining figure AD = 5.6 cm , AB = 8.4 cm , AE = 3.8 cm and AC = 5.7 cm . Show that DE║BC. (You shall draw the figure)

Answer 1

Answer:

Step-by-step explanation:

we know that,

AB upon AD = AC upon AE

⇒8÷3 = AE÷5.6

⇒AE= 5.6×3÷8

∴AE=2.1cm

Answer 2

Step-by-step explanation:

SOLUTION

We have,

AD=5.6cm, DB=(AB-AD)=(8.4-5.6)CM=2.8CM

AE=3.8cm, EC=(AC-AE)=(5.7-3.8)CM=1.9CM

∴AEEC−3.81.9−21 and ADDB−5.62.8−21

Thus, ADDB−AEEC

∴ DE divides AB and AC proportionally.

Hence, DE||BC