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In quadrilateral ABCD, angle ADB = angle ABC = 90, and A and C are on opposite sides of BD.  If AB = 13, AD = 5, and CD = 20, then find AC.

 Jun 8, 2020
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Draw a diagram, and get that DB=12 and CB=16 by Pythagoras.

Then we want to calculate the length of AC, which we can by observing right triangle ABC where AC is the hypotenuse.

16^2+13^2=425, so the answer is the sqrt of 425, or 5sqrt17.

 

You are very welcome!

:P

 Jun 8, 2020

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