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Given: Quad.JKLM is a square Complete. 1. If MJ=12 ther ML = ML=square and LK = 2. If MX=8 , then XJ=square 3. If JL=18 then MK=square ,JX=square and

Pergunta

Given: Quad.JKLM is a square Complete.
1. If MJ=12 ther ML = ML=square  and LK =
2. If MX=8 , then XJ=square 
3. If JL=18 then MK=square ,JX=square  and

Given: Quad.JKLM is a square Complete. 1. If MJ=12 ther ML = ML=square and LK = 2. If MX=8 , then XJ=square 3. If JL=18 then MK=square ,JX=square and

Solução

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LuizEspecialista · Tutor por 3 anos

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1. In a square, all sides are equal. Therefore, if \( MJ = 12 \), then \( ML = 12 \) and \( LK = 12 \).<br /><br />2. Since \( MX = 8 \) and \( M \) is the midpoint of side \( JL \) in a square, \( XJ \) would also be \( 8 \).<br /><br />3. If \( JL = 18 \), then each side of the square is \( 18 \). The diagonal \( MK \) can be found using the Pythagorean theorem in the right triangle formed by two sides of the square and the diagonal. Thus, \( MK = \sqrt{18^2 + 18^2} = \sqrt{648} = 18\sqrt{2} \).<br /><br /> For \( JX \) and \( XK \), assuming \( X \) is the midpoint of \( JK \), both \( JX \) and \( XK \) would be half of \( JK \), which is \( 9\sqrt{2} \).
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