Math, asked by kimmjennie97, 1 day ago

In the given figure DE || BC. The value of EC is​

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Answers

Answered by KavyaaRao
3

Answer:

The answer is option (c) 2 cm

Answered by amitnrw
6

Given : DE || BC

To Find :  Value of EC

Solution:

Thales Theorem / BPT ( Basic Proportionality Theorem)  

if a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio.

DE || BC

AD/ DB  = AE / EC

AD = 1.5 cm

DB = 3 cm

AE  = 1 cm

EC = ?

=> 1.5 / 3  =  1/ EC

=> 1/2 = 1/EC

=> EC = 2 cm

Hence correct option is c) 2 cm

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