In triangle ABC DE||BC, if AD:DB=3:5, AC=4.8cm, find AE.

Asked by Dhruv Sharma | 26th Jul, 2014, 01:44: PM

Expert Answer:

G i v e n fraction numerator A D over denominator D B end fraction equals 3 over 5 comma space A C equals 4.8 space c m  fraction numerator A D over denominator D B end fraction equals 3 over 5 rightwards double arrow fraction numerator D B over denominator A D end fraction equals 5 over 3  A d d space 1 space o n space b o t h space s i d e s space w e space g e t fraction numerator A D plus D B over denominator A D end fraction equals fraction numerator 5 plus 3 over denominator 3 end fraction fraction numerator A B over denominator A D end fraction equals 8 over 3 rightwards double arrow fraction numerator A D over denominator A B end fraction equals 3 over 8  W e space a l s o space k n o w space t h a t space f r o m space m i d p o i n t space a n d space b a s i c space p r o p o r t i o n a l i t y space t h e o r e m fraction numerator A D over denominator A B end fraction equals fraction numerator A E over denominator A C end fraction space S u b s t i t u t e space t h e space v a l u e s space w e space g e t 3 over 8 equals fraction numerator A E over denominator 4.8 end fraction A E equals 1.8 space c m

Answered by Dharma Teja | 27th Jul, 2014, 12:45: PM