SOLUTION: Quadrilateral ABCD is a square. if AC=16, find AB

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Question 546497: Quadrilateral ABCD is a square. if AC=16, find AB
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
in a square all sides are the same
so AB=BC
using this formula a%5E2%2Bb%5E2=c%5E2 where a and b are sides and c is diagnal
since a and b are the same the formula will look like this 2a%5E2=c%5E2
AB=a BC=a 16=c
2a%5E2=%2816%29%5E2 solve for a
2a%5E2=256
a%5E2=256%2F2
sqrt%28a%5E2%29=sqrt%28128%29 64*2=128, 8^2*2=128, 8 comes out
a=8sqrt%282%29