document.write( "Question 1011181: The pyramid ABCDE has a square base. The pyramid is 20cm high. Each sloping edge measures 30cm. \r
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\n" ); document.write( "The pyramid ABCDE has a square base. The pyramid is 20 cm high. Each sloping edge measures 30 cm. \r
\n" ); document.write( "\n" ); document.write( "Calculate the length of the side of the base.
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document.write( "Since all sloping edges have the same length and since the base of the pyramid is a square, the pyramid is a regular pyramid.\r\n" );
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document.write( "It means that the height of the pyramid falls into the center of the square at the base.\r\n" );
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document.write( "Connect the center of the square at the base with some vertex of the base,\r\n" );
document.write( "and consider the right-angled triangle formed by the pyramid's height and this connection.\r\n" );
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document.write( "This right-angled triangle has the leg of 20 cm and the hypotenuse of 30 cm.\r\n" );
document.write( "Hence, the other leg, which is our connection, is  =  = .\r\n" );
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document.write( "It means that the diagonal of the square at the base is .\r\n" );
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document.write( "Hence, the edge at the base has the measure of  =  = .\r\n" );
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document.write( "Answer. The length of the side of the base is .\r\n" );
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