Could someone please help me find the length of x?

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2 Answers
Dean R.
Apr 23, 2018

The problem is underdetermined.

Explanation:

Do not use any formulas! There's always a formula.

enter image source here

This one seems underconstrained. I drew two different circles that satisfy the #AC=6, BC=7, CD=CE=3# length constraints.

CW
Apr 23, 2018

#x=14# units

Explanation:

enter image source here
#KLMN# is a cyclic quadrilateral,
#=> anglePKN=anglePLM=b#, and,
# anglePNK=anglePML=c#,
#=> DeltaPKN and DeltaPLM# are similar,
#=> (PM)/(PL)=(PN)/(PK)#
#=> x/6=7/3#
#=> x=(6xx7)/3=14# units

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