Math, asked by abhilashbharadwajv, 5 days ago

In the following triangle ABC, B  = 70,  BDE 110, BC = 5cm and AE =CE= 3cm. Then the length of DE is

Answers

Answered by rasmitabhadrasjt0439
1

Answer:

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

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