Respuesta :

abhaysilver1
Here is your answer

[tex]\huge x=\frac{35}{2}cm= 17.5cm[/tex]

REASON :
AB//CD

So,

/_A=/_D ... (alternate int. angles)

/_B=/_C ... (alt. int. angles)

So,

Tri.ABE~Tri.DCE... (by AA similarity)

Therefore,

Corresponding sides are proportional

i.e.

[tex]\frac{AE}{DE}=\frac{AB}{DC}[/tex]

[tex] \frac{5}{x}=\frac{4}{14} [/tex]

[tex] x=\frac{5×14}{4} [/tex]

[tex] x=\frac{5×7}{2} [/tex]

[tex] x=\frac{35}{2} [/tex]

HOPE IT IS USEFUL
itsme133

♦Here is your answer♦

35}{2}cm= 17.5cmx=

2

35

cm=17.5cm

REASON :

AB//CD

So,

/_A=/_D ... (alternate int. angles)

/_B=/_C ... (alt. int. angles)

So,

Tri.ABE~Tri.DCE... (by AA similarity)

Therefore,

Corresponding sides are proportional

i.e.

[tex].[/tex]