Could someone please help me find the length of x?

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2 Answers
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.

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