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Triangle ABC is a right angled triangle,AB is perpendicular to BC,E is a point on BC,D is a point on AB ,intersection of AE and CD is F, AD=10,DB=8 BE=6,EC=10, Then find the area of quadrilateral DBEF.

 Jan 31, 2021
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See here  :  

 

Note  that  the  area of triangle AEB  =(1/2)  AB * EB  =(1/2) ( 18) (6)  =  54          (1)

And the area of triangle  ADF  =  (1/2) AD  * height of 4   =  (1/2) (10)(4)  = 20      (2)

 

So [ DBEF  ]  =  (1)   - (2)  =   54  - 20   =  34

 

 

cool cool cool

 Jan 31, 2021

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