SOLUTION: Triangle ABC is right-angled at B and D is any point on AB.DE is perpendicular to AC.If AD=4cm,AB=16cm,AC=24cm.Find AE

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Question 389205: Triangle ABC is right-angled at B and D is any point on AB.DE is perpendicular to AC.If AD=4cm,AB=16cm,AC=24cm.Find AE
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Triangle ABC is right-angled at B and D is any point on AB.
DE is perpendicular to AC.
If AD=4cm,AB=16cm,AC=24cm.Find AE
:
Find the Angle A
Cos(A) = 16%2F24
A ~ 48.2 degrees
:
Find AE
%28AE%29%2F4 = Cos(48.2)
AE = 4 * Cos(48.2)
AE = 2.67