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<font size="4" style="color: rgb(0, 0, 0); font-family: times new roman,times,serif; font-style: italic;"> Un cordel que mide <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#a1«/mi»«/math»</span> <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»m«/mi»«/math»</span> se debe cortar en tres partes, de tal forma que los segmentos resultantes estén en la razón <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#r1«/mi»«mo»:«/mo»«mi»#r2«/mi»«mo»:«/mo»«mi»#r3«/mi»«/math»</span> . Entonces, se puede afirmar que:<br /><br />1. El segmento de mayor tamaño mide </font><font class="Apple-style-span" face="verdana, arial, helvetica, sans-serif" size="4" style="color: rgb(0, 0, 0); font-family: times new roman,times,serif;"><font class="Apple-style-span">{1:SA:=\#s1#<span style="font-style: italic;">¡Excelente!</span>} </font></font><font size="4" style="color: rgb(0, 0, 0); font-family: times new roman,times,serif; font-style: italic;"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»m«/mi»«/math»</span></font><br /><font class="Apple-style-span" face="verdana, arial, helvetica, sans-serif" size="4" style="color: rgb(0, 0, 0); font-family: times new roman,times,serif; font-style: italic;"><font class="Apple-style-span">2. El segmento de menor tamaño mide </font></font><font class="Apple-style-span" face="verdana, arial, helvetica, sans-serif" size="4" style="color: rgb(0, 0, 0); font-family: times new roman,times,serif; font-style: italic;"><font class="Apple-style-span">{1:SA:=\#s2#¡</font></font><font class="Apple-style-span" face="verdana, arial, helvetica, sans-serif" size="4" style="color: rgb(0, 0, 0); font-family: times new roman,times,serif; font-style: italic;"><font class="Apple-style-span">Excelente!</font></font><font class="Apple-style-span" face="verdana, arial, helvetica, sans-serif" size="4" style="color: rgb(0, 0, 0); font-family: times new roman,times,serif; font-style: italic;"><font class="Apple-style-span">} </font></font><font size="4" style="color: rgb(0, 0, 0); font-family: times new roman,times,serif; font-style: italic;"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»m«/mi»«/math»</span></font><br /><font class="Apple-style-span" face="verdana, arial, helvetica, sans-serif" size="4" style="color: rgb(0, 0, 0); font-family: times new roman,times,serif; font-style: italic;"><font class="Apple-style-span">3. El otro segmento mide </font></font><font class="Apple-style-span" face="verdana, arial, helvetica, sans-serif" size="4" style="color: rgb(0, 0, 0); font-family: times new roman,times,serif;"><font class="Apple-style-span">{1:SA:=\#s3#<span style="font-style: italic;">¡Muy bien, sigue así!</span>} </font></font><font size="4" style="color: rgb(0, 0, 0); font-family: times new roman,times,serif; font-style: italic;"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»m«/mi»«/math»</span></font><br /><font class="Apple-style-span" face="verdana, arial, helvetica, sans-serif" size="4" style="color: rgb(0, 0, 0); font-family: times new roman,times,serif; font-style: italic;"><font class="Apple-style-span"><br /></font></font><font size="4" style="color: rgb(153, 0, 0); font-family: times new roman,times,serif; font-style: italic;">Obs.: Para separar los decimales, escribe un punto en vez de coma.</font><br /><br /><font class="Apple-style-span" face="verdana, arial, helvetica, sans-serif" size="4" style="color: rgb(0, 0, 0); font-family: times new roman,times,serif; font-style: italic;"><font class="Apple-style-span"> </font></font>
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<font size="4"><span style="font-family: times new roman,times,serif; font-style: italic;">Solución</span><br style="font-family: times new roman,times,serif; font-style: italic;" /><br style="font-family: times new roman,times,serif; font-style: italic;" /><span style="font-family: times new roman,times,serif; font-style: italic;"></span></font><font size="4"><span style="font-family: times new roman,times,serif; font-style: italic;">El cordel </span></font><font size="4"><span style="font-family: times new roman,times,serif; font-style: italic;">que hay que cortar</span></font><font size="4"><span style="font-family: times new roman,times,serif; font-style: italic;"> en tres, debe estar en la razón </span></font><font size="4" style="color: rgb(0, 0, 0); font-family: times new roman,times,serif; font-style: italic;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#r1«/mi»«mo»:«/mo»«mi»#r2«/mi»«mo»:«/mo»«mi»#r3«/mi»«/math»</span> .<br /></font><font size="4" style="color: rgb(0, 0, 0); font-family: times new roman,times,serif; font-style: italic;">Entonces, para calcular cuánto mide cada uno de los segmentos, pensemos que el cordel se va a dividir en la suma de las partes;</font><span style="font-style: italic;"> </span><font size="4" style="color: rgb(0, 0, 0); font-family: times new roman,times,serif; font-style: italic;">es decir, en <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#r1«/mi»«mo»+«/mo»«mi»#r2«/mi»«mo»+«/mo»«mi»#r3«/mi»«mo»=«/mo»«mi»#r4«/mi»«/math»</span><br /><br />Luego, si dividimos el cordel en <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#r4«/mi»«/math»</span> partes nos queda:<br /><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfrac»«mrow»«mi»#a1«/mi»«mo»§nbsp;«/mo»«mi»m«/mi»«/mrow»«mrow»«mi»#r4«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mi»#a2«/mi»«mo»§nbsp;«/mo»«mi»m«/mi»«/math»</span><br />Entonces, el segmento de cordel más largo está dado por:<br /><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced»«mrow»«mi»#a2«/mi»«mo»§nbsp;«/mo»«mi»m«/mi»«/mrow»«/mfenced»«mo»·«/mo»«mi»#r3«/mi»«mo»=«/mo»«mi»#a3«/mi»«mo»§nbsp;«/mo»«mi»m«/mi»«/math»</span><br />El segmento más corto está dado por:<br /></font><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced»«mrow»«mi»#a2«/mi»«mo»§nbsp;«/mo»«mi»m«/mi»«/mrow»«/mfenced»«mo»·«/mo»«mi»#r1«/mi»«mo»=«/mo»«mi»#a4«/mi»«mo»§nbsp;«/mo»«mi»m«/mi»«/math»</span><br style="font-family: times new roman,times,serif; font-style: italic;" /><span style="font-family: times new roman,times,serif; font-style: italic;">Y el segmento que sobra viene dado por:</span><br style="font-family: times new roman,times,serif; font-style: italic;" /><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced»«mrow»«mi»#a2«/mi»«mo»§nbsp;«/mo»«mi»m«/mi»«/mrow»«/mfenced»«mo»·«/mo»«mi»#r2«/mi»«mo»=«/mo»«mi»#a5«/mi»«mo»§nbsp;«/mo»«mi»m«/mi»«/math»</span><br style="font-family: times new roman,times,serif; font-style: italic;" /></font>
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