Question

plz give correct ans​

Answer 1

Answer:

ANSWER

Let AE be x cm.

Then, EC=18−x cm

Since,

DB

AD

=

EC

AE

Therefore,

3

2

=

18−x

x

36−2x=3x

5x=36

x=7.2 cm

Answer 2

$\green{ \sf{by \:Thales\: theorem}}$

$\: \: \: \: \: \boxed{ \frac{AD}{BD} = \frac{AE}{CE} }$

$\frac{x}{x + 1} = \frac{x + 3}{x + 5}$

$x(x + 5) = (x + 3)(x + 1)$

$\cancel {{x}^{2}} + 5x = \cancel{ {x}^{2} } + x + 3x + 3$

$\: \: \: \: \: \: \: \:5x - 4x = 3$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 3$

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