SOLUTION: ABCD is a rectangle in which AB = 16cm, AC = 20cm and AE is the perpendicular from A to BD. Find the lengths of AD and AE.

Algebra ->  Algebra  -> Pythagorean-theorem -> SOLUTION: ABCD is a rectangle in which AB = 16cm, AC = 20cm and AE is the perpendicular from A to BD. Find the lengths of AD and AE.      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 91850: ABCD is a rectangle in which AB = 16cm, AC = 20cm and AE is the perpendicular from A to BD. Find the lengths of AD and AE.
Answer by scott8148(5891) About Me  (Show Source):
You can put this solution on YOUR website!
the diagonal (AC) forms a 3-4-5 right triangle with the two sides, this means the length of AD (and BC) is 12cm

the perpendicular from A to BD divides triangle ABD into two similar 3-4-5 right triangles

AE:AB::AD:BD ... AE/16=12/20 ... AE=9.6cm