Question

Please help me with this question if u can and don't spam pls

Answer 1

Answer:

Since DE∥BC,∠D=∠B and ∠E=∠C and

∠A remains the same.

So by AAA Criteria, we get

△ABC∼△ADE

Since

BC

DE

=

3

1

⇒

AB

AD

=

AC

AE

=

3

1

So, AB=3AD and AC=3AE

Now area of triangle ABC=

2

1

(AB)(AC)=

2

1

(3AD)(3AE)=9×

2

1

(AB)(AC)

Area of △ABC=

2

1

(AD)(AE))=9(30)=270 cm

2

Now, area of BCDE= Area of ABC− Area of ADE=270−30=240 cm

2