document.write( "Question 1177582: I need help on this please\r
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\n" ); document.write( "\n" ); document.write( "Triangle DEF has vertices located at D (2, 1), E (3, 5), and F (6, 2).\r
\n" ); document.write( "\n" ); document.write( "Part A: Find the length of each side of the triangle. Show your work.\r
\n" ); document.write( "\n" ); document.write( "Part B: Find the slope of each side of the triangle. Show your work.\r
\n" ); document.write( "\n" ); document.write( "Part C: Classify the triangle. Explain your reasoning.
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Algebra.Com's Answer #806649 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Triangle \"DEF\" has vertices located at \r
\n" ); document.write( "\n" ); document.write( "D (\"2\", \"1\"),
\n" ); document.write( "E (\"3\", \"5\"), and
\n" ); document.write( "F (\"6\", \"2\").\r
\n" ); document.write( "\n" ); document.write( "Part A: \r
\n" ); document.write( "\n" ); document.write( "Find the length of each side of the triangle. Show your work.
\n" ); document.write( "the length of each side is equal to the distance between endpoints\r
\n" ); document.write( "\n" ); document.write( "the length of the side \"DE\" is equal to the distance between (\"2\", \"1\") and (\"3\", \"5\")\r
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Solved by pluggable solver: Distance Between 2 points
The distance formula is \"sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29\". Plug in the numbers,\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%28%28%283-%282%29%29%5E2%29%2B%28%285-%281%29%29%5E2%29%29\" \r
\n" ); document.write( "\n" ); document.write( "\"sqrt%281%5E2%2B4%5E2%29\" The distance is 4.12310562561766.\r
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\n" ); document.write( "\n" ); document.write( "so, \"DE=4.12\" (approximately)\r
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\n" ); document.write( "\n" ); document.write( "the length of the side \"DF\" is equal to the distance between (\"2\", \"1\") and (\"6\", \"2\")\r
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Solved by pluggable solver: Distance Between 2 points
The distance formula is \"sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29\". Plug in the numbers,\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%28%28%286-%282%29%29%5E2%29%2B%28%282-%281%29%29%5E2%29%29\" \r
\n" ); document.write( "\n" ); document.write( "\"sqrt%284%5E2%2B1%5E2%29\" The distance is 4.12310562561766.\r
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\n" ); document.write( "\n" ); document.write( "so, \"DF=4.12\" (approximately)\r
\n" ); document.write( "\n" ); document.write( "the length of the side \"EF\" is equal to the distance between ((\"3\", \"5\") and (\"6\", \"2\")\r
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: Distance Between 2 points
The distance formula is \"sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29\". Plug in the numbers,\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%28%28%286-%283%29%29%5E2%29%2B%28%282-%285%29%29%5E2%29%29\" \r
\n" ); document.write( "\n" ); document.write( "\"sqrt%283%5E2%2B-3%5E2%29\" The distance is 4.24264068711928.\r
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\n" ); document.write( "\n" ); document.write( "\"EF=+4.24\"(approximately)\r
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\n" ); document.write( "\n" ); document.write( "Part B: \r
\n" ); document.write( "\n" ); document.write( "Find the slope of each side of the triangle. Show your work.\r
\n" ); document.write( "\n" ); document.write( " \"DE\" passes through (\"2\", \"1\") and (\"3\", \"5\")\r
\n" ); document.write( "\n" ); document.write( "slope is \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: Finding the slope

\n" ); document.write( "
\n" ); document.write( " Slope of the line through the points (2, 1) and (3, 5)
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\n" ); document.write( " \"m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29\"
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\n" ); document.write( " \"m+=+%285+-+1%29%2F%283+-+2%29\"
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\n" ); document.write( " \"m+=+%284%29%2F%281%29\"
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\n" ); document.write( " \"m+=+4\"
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\n" ); document.write( " Answer: Slope is \"m+=+4\"
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\n" ); document.write( "\n" ); document.write( "\"DF\" passes through (\"2\", \"1\") and (\"6\", \"2\")\r
\n" ); document.write( "\n" ); document.write( "slope is \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: Finding the slope

\n" ); document.write( "
\n" ); document.write( " Slope of the line through the points (2, 1) and (6, 2)
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\n" ); document.write( " \"m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29\"
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\n" ); document.write( " \"m+=+%282+-+1%29%2F%286+-+2%29\"
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\n" ); document.write( " \"m+=+%281%29%2F%284%29\"
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\n" ); document.write( " Answer: Slope is \"m+=+1%2F4\"
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\n" ); document.write( "\n" ); document.write( "side \"EF\" passes through ((\"3\", \"5\") and (\"6\", \"2\")
\n" ); document.write( "slope is \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: Finding the slope

\n" ); document.write( "
\n" ); document.write( " Slope of the line through the points (6, 2) and (3, 5)
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\n" ); document.write( " \"m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29\"
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\n" ); document.write( " \"m+=+%285+-+2%29%2F%283+-+6%29\"
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\n" ); document.write( " \"m+=+%283%29%2F%28-3%29\"
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\n" ); document.write( " \"m+=+-1\"
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\n" ); document.write( " Answer: Slope is \"m+=+-1\"
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\n" ); document.write( "\n" ); document.write( "Part C: \r
\n" ); document.write( "\n" ); document.write( "Classify the triangle. Explain your reasoning.\r
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\n" ); document.write( "\n" ); document.write( "Triangle \"DEF\" is an \"isosceles\" triangle because sides \"DE\" and \"DF\" are the same length.\r
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