Please submit your concern

Explanation:

Since ∠C = 2 ∠E , therefore ∠BCA = 60°.
Also since ABCD is a parallelogram,
AB = CD and AD = BC = AC.
Hence, ΔABC and ΔACD are equilateral triangles.
Hence, area of this triangle = s243.

where s is the side of the triangle = AB = AD = DC = BC.
∴ Area of the parallelogram is twice this area = s223.

Since ∠CAD = 60°, ∠DAE = 90°, so ΔEAD is a right triangle with side AD = s. Since it is a 30-60-90 triangle, hence side AE = s3.

∴ Area of this triangle = (s×s3)2=s223.

Hence, the required two areas are equal or I = II.

Feedback

Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.


© 2024 | All Rights Reserved | Apti4All