In triangle DEW ,A B parallel EW. If AD=4cm, DE=12cm, & DW=24cm then find the value of DB.



Dear Student,


Given: AB  EW and AD = 4cm, DE = 12 cm, DW = 24 cmIn DAB and DEW,DAB = DEW (Corresponding angles)DBA = DWE(Corresponding angles)Therefore, DAB ~ DEW, by AA similarity criterion.Hence, DADE = DBDW = ABEW (Corresponding sides of similar triangles are proportional)412 = DB24DB = 24 × 412DB = 8

Regards
 

  • 6
In triangle DEW,AB parallel to EW
So,According to base propotionality
AD/AE=DB/WB
4/8=DB/DW-DB=1/2
On reciprocal the equation we get,
DW-DB/DB=2
DW-DB=2DB
DW=3DB
24=3DB
DB=8cm
  • 2
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