Question #f3da8

1 Answer
CW
Feb 16, 2017

AD=1/3AD=13

Explanation:

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As shown in the diagram, AE and CDAEandCD are the two altitudes.

DeltaBDC is a right-angled triangle.
Given BE=6, EC=8, and BD=9,
=> BC=BE+EC=6+8=14
Let angleDBC=x
cosx=(BD)/(BC)=9/14

DeltaABE is also a right triangle, right-angled at E,
=> ABcosx=6
=> AB=6/cosx=6/(9/14)=6xx14/9=28/3

AD=AB-BD=28/3-9=1/3

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