in triangle ABC &D and E are points on the sides AB and AC respectively if is equal to AD=1.5 cm is DB= 3cm and EC=2cmfind AE

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Answer:DE∣∣BC

⟹∠ADE=∠ABC Corresponding angles

∠AED=∠ACB Corresponding angles

∠A is common to both the triangles.

∴ΔADE∼ΔABC by AAA similarity

⟹

AD

AB

=

AE

AC

AD

AB

−1=

AE

AC

−1

AD

BD

=

AE

CE

EC=1×

1.5

3

=2 cm

Step-by-step explanation:Mark me as brainlist

Step-by-step explanation:The given information is shown in the attached diagram.

DE∣∣BC

⟹∠ADE=∠ABC Corresponding angles

∠AED=∠ACB Corresponding angles

∠A is common to both the triangles.

∴ΔADE∼ΔABC by AAA similarity

⟹

AD

AB

=

AE

AC

AD

AB

−1=

AE

AC

−1

AD

BD

=

AE

CE

EC=1×

1.5

3

=2 cm