Q. 95.0( 1 Vote )

# In ΔABC, the bisector of ∠A intersects in D and the bisector of ∠ADC intersects in E. Prove that AB × AD × EC = AC × BD × AE.

Given, In ABC, the bisector of A intersects in D and the bisector of ADC intersects in E as shown in figure.

To prove: AB × AD × EC = AC × BD × AE

Proof: In ∆ABC, the bisector of A intersects BC in D.

...... (i)

...... (i)

By multiplying eq (i) and (ii)

AB × AD × EC = AC × BD × AE

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