Question

In the adjacent triangle ABC, AD=24cm
DB=7,2cm, AE = 1. 8cm and Ec=5.40m then
verify whether DE 11 BC or not

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Answer 1

Given :    triangle ABC,AD=2.4cm, DB=7.2cm,AE=1.8cm, and EC=5.4cm,  

To find :  DE || BC   or not

Solution:

in triangle ABC

DE || BC

if  AD/BD  =  AE/CE

AD = 2.4 cm

BD =  7.2 cm

AE = 1.8 cm

CE =  5.4

AD/BD  = 2.4/7.2  = 1/3

AE/CE = 1.8/5.4  = 1/3

1/3  = 1/3

=> AD/BD  =  AE/CE

=> DE || BC

Yes , DE || BC

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