Find the rise of BD?
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I give you a hint.
The area of Triangle ABD = area ABC +area BCD
Now, call , the height.
Then you can find,
area ABC can be computed by Heron's Formula
You have an equation to solve for!
In , use the Law of Cosines to find
In right triangle
Last edited by Soroban; Dec 3rd 2006 at 05:51 PM.
An alternate approach . . .
In , use the Law of Cosines to find angle . . Hence: .
In right triangle . . Therefore: .
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