document.write( "Question 1189499: The lengths of the diagonals of a rhombus are 20 and 48 meters. What is the perimeter of the rhombus? \n" ); document.write( "

Algebra.Com's Answer #820871 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "The lengths of the diagonals of a rhombus are 20 and 48 meters. What is the perimeter of the rhombus?
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document.write( "In any rhombus, diagonals bisect each other and are perpendicular.\r\n" );
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document.write( "THEREFORE, the diagonals divide a rhombus into four congruent right-angled triangles.\r\n" );
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document.write( "Consider any of these triangle. Its legs are half-diagonals.\r\n" );
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document.write( "In our case, the legs of the considered triangle are 20/2 = 10 and 48/2 = 24 meters long.\r\n" );
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document.write( "Apply the Pythagorean theorem and calculate the hypotenuse length. It is\r\n" );
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document.write( "     =  =  = 26 meters.\r\n" );
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document.write( "The hypotenuse is the side of the rhombus.\r\n" );
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document.write( "So, each side is 26 meters long.\r\n" );
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document.write( "Hence, the perimeter of the rhombus is  4*26 = 104 meters.\r\n" );
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document.write( "ANSWER.  The perimeter of the rhombus is  4*26 = 104 meters.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On rhombis, see the lessons in this site\r
\n" ); document.write( "\n" ); document.write( "    - Diagonals of a rhombus are perpendicular\r
\n" ); document.write( "\n" ); document.write( "    - Diagonals of a rhombus bisect its angles\r
\n" ); document.write( "\n" ); document.write( "    - The length of diagonals of a rhombus\r
\n" ); document.write( "\n" ); document.write( "    - A circle inscribed in the rhombus\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO solve problems on the rhombus sides and diagonals measures - Examples \r
\n" ); document.write( "\n" ); document.write( "    - The length of diagonals of a rhombus \r
\n" ); document.write( "\n" ); document.write( "    - PROPERTIES OF RHOMBIS\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook on Geometry\r
\n" ); document.write( "\n" ); document.write( "    GEOMETRY - YOUR ONLINE TEXTBOOK \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the topic \"Properties of rhombis\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in GEOMETRY
\n" ); document.write( "https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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