In the given figure , P and Q are points on the sides AB and AC respectively of Triangle ABC, such that AP= 3.5cm, PB= 7cm, AQ= 3cm and QC= 6cm. If PQ=4.5cm, find BC
 
 
 
 
 
 
 
 

Asked by DEVANSH MORE | 17th Sep, 2014, 07:36: PM

Expert Answer:

U sin g space p r o p o r t i o n a l i t y space t h e o r e m. space W e space k n o w space t h a t  fraction numerator A P over denominator P B end fraction equals fraction numerator A Q over denominator Q C end fraction equals fraction numerator P Q over denominator B C end fraction  fraction numerator A P over denominator P B end fraction equals fraction numerator 3.5 over denominator 7 end fraction equals 1 half equals fraction numerator A Q over denominator Q C end fraction equals fraction numerator P Q over denominator B C end fraction  rightwards double arrow fraction numerator P Q over denominator B C end fraction equals 1 half  B C equals 2 space P Q space equals space 2 space cross times space 4.5 equals 9 space c m

Answered by Dharma Teja | 18th Sep, 2014, 10:23: AM