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D is on side AC of Triangle ABC. We know [ABC] = 120, AD = 8, DC = 3. What is [ABD]?

 Jul 31, 2022
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        B

 

 

A       8      D      3     C

 

Note that  triangles  ABD  and DBC are under the same height

 

And....triangles under the same height are to each other as their bases

 

So

 

[ABD ]   =  [ 8 / ( 8 + 3)  ] [ ABC]   =  (8/11) (120)  =    960 / 11 

 

 

 

cool cool cool

 Aug 1, 2022
edited by CPhill  Aug 1, 2022

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