Given: AB=2cm,BC=4cm,AC=3cm Formula used: Angle bisector theorem: If a bisector of an angle divides the opposite side of a triangle, the ratio of the divided parts equals the ratio of the other two sides. BD∕DC=AB∕AC Calculations:
In △ABC, AD is the bisector of ∠A So, BD∕DC=AB∕AC=2∕3 Since, BC=4cm So, BD=2∕5×4=8∕5cm Now, In △ABD BE is the bisector of ∠B So, BD∕AB=ED∕AE ⇒(8∕5)∕2=ED∕AE ⇒4∕5=ED∕AE ⇒5∕4=AE∕ED So, AE:ED=5:4
