document.write( "Question 1150800: Land in the shape of an isosceles triangle has a base of 130 m. An altitude from
\n" ); document.write( "the vertex of one of the base angles of the triangle is 120 m. What is the area
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Algebra.Com's Answer #772265 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "We can equate the area as follows\r
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\n" ); document.write( "\n" ); document.write( "\"A=%281%2F2%29base+%2A+height+=++65+%2A++height+\"... (1) \r
\n" ); document.write( "\n" ); document.write( "\"A=120+%2A+%281%2F2%29side++=++60+%2A+side\".......... (2)\r
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\n" ); document.write( "\n" ); document.write( "Set (1) = (2) and solve for the side\r
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\n" ); document.write( "\n" ); document.write( "\"60+%2A+side++=++65+%2A+height\"\r
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\n" ); document.write( "\n" ); document.write( "\"side++=+%2865%2F60%29+%2A+height\"\r
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\n" ); document.write( "\n" ); document.write( "\"side++=++%2813%2F12%29%2A+height++=+++%2813%2F12%29%2Ah\"\r
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\n" ); document.write( "\n" ); document.write( "The side is the \"hypotenuse+\"of a right triangle with the height and \"1%2F2+\"base being the legs\r
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\n" ); document.write( "\n" ); document.write( "So, using the Pythagorean Theorem, we have that\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt++%28+side%5E2++-++height%5E2+%29++=++%281%2F2%29%2A+base\"}\r
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\n" ); document.write( "\n" ); document.write( "Substitute\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt++%28+%28+%2813%2F12%29h%29%5E2++-+h%5E2%29++=++%281%2F2%29%2A+base+\" \r
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\n" ); document.write( "\n" ); document.write( "\"sqrt++%28%28169%2F+144%29h%5E2+-++%28144%2F144%29h%5E2%29++=+%281%2F2%29%2A+base+\" \r
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\n" ); document.write( "\n" ); document.write( " \"sqrt+%28+%28169+-+144%29+h%5E2++++%2F+144+%29+++=++%281%2F2+%29%2Abase\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt+%28+25h%5E2+%2F+144+%29+=++%281%2F2%29%2A+base\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28h+%2F+12%29+%2A+sqrt+%2825%29++=++%281%2F2%29%2A+base\"\r
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\n" ); document.write( "\n" ); document.write( "\"%285%2F12%29h++=++%281%2F2+%29130\"\r
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\n" ); document.write( "\n" ); document.write( "\"%285%2F12%29h++=++65\"\r
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\n" ); document.write( "\n" ); document.write( "\"h+=+%2865%2A12%29+%2F+5+\" \r
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\n" ); document.write( "\n" ); document.write( "\"h++=+13+%2A+12++=+++156+m\"\r
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\n" ); document.write( "\n" ); document.write( "So,\r
\n" ); document.write( "\n" ); document.write( "\"Area++=+%281%2F2%29base+%2A+height\"\r
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\n" ); document.write( "\n" ); document.write( "\"Area++=%281%2F2%29130m+%2A+156m\"\r
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\n" ); document.write( "\n" ); document.write( "\"Area++=65m+%2A+156m++\" \r
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\n" ); document.write( "\n" ); document.write( "\"Area++=10140+m%5E2\"\r
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