Proving Similarity in the figure DEFG is a square. Prove the following: ADEB=DGFE Given: The given figure is, 12210202691.jpg

sibuzwaW 2020-11-29 Answered

Proving Similarity in the figure DEFG is a square. Prove the following:
AD*EB=DG*FE
Given:
The given figure is,

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Bella

Answered 2020-11-30 Author has 81 answers

Approach:
The lengths of the corresponding sides in the triangles are proportional.
Calculation:
Since,

△ A D G \sim △ F E B

.
Thus, the lengths of their corresponding sides are proportional.

\frac{A D}{F E} = \frac{D G}{E B}

AD * EB = DG * FE
Therefore, it is proved that AD * EB = DG * FE.
Conclusion:
Hence, it is proved that AD * EB = DG * FE.

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