# IN FIGURE ABC IS TRIANGLE IN WHICH CE PEPENDICULAR AB AND BD PEPENDICULAR AC PROVE THAT AB*AE=AC*AD

$\\ \operatorname{In} \Delta \mathrm{AEC} and \Delta \mathrm{ADB} \\ \angle \mathrm{A}=\angle \mathrm{A} \quad[ common ] \\ \angle \mathrm{AEC}=\angle \mathrm{ADB} \quad\left[90^{\circ} \mathrm{each}\right] \\ \Rightarrow \Delta \mathrm{AEC} \sim \Delta \mathrm{ADB}[\mathrm{AA}] \\ \Rightarrow \frac{A E}{A D}=\frac{A C}{A B}=\frac{E C}{D B} \quad[ Correponding sides of similar \Delta 's are proportional] \Rightarrow \frac{A E}{A D}=\frac{A C}{A B} \\ \Rightarrow \mathbf{A E} \times \mathbf{A B}=\mathbf{A C} \times \mathbf{A D}$

### Preparation Products

##### JEE Main Rank Booster 2021

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 13999/- ₹ 9999/-
##### Rank Booster NEET 2021

This course will help student to be better prepared and study in the right direction for NEET..

₹ 13999/- ₹ 9999/-
##### Knockout JEE Main April 2021 (Subscription)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 4999/-
##### Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 14999/-