Difference between revisions of "2013 AMC 12A Problems/Problem 1"

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We are given that the area of ∆ABE is 40, and that side AB is of length 10.
 
We are given that the area of ∆ABE is 40, and that side AB is of length 10.
  
Side AB can be used as the height of ∆ABE.
+
Side AB can be used as the height of right ∆ABE.
  
 
Since A= (bh)/2,
 
Since A= (bh)/2,

Revision as of 20:50, 6 February 2013

We are given that the area of ∆ABE is 40, and that side AB is of length 10.

Side AB can be used as the height of right ∆ABE.

Since A= (bh)/2,

40=(10h)/2

and solving for h will give us 8, or E.