document.write( "Question 897238: A base of an isosceles triangle is 2x+y units and the legs of the triangle are 3x and 4y units. The perimeter of the triangle is 70 units. Find the values of x and y and determine the length of each side of the triangle. \n" ); document.write( "

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A base of an isosceles triangle is 2x+y units and the legs of the triangle are 3x and 4y units. The perimeter of the triangle is 70 units. Find the values of x and y and determine the length of each side of the triangle.
\n" ); document.write( "***
\n" ); document.write( "base+2legs=perimeter
\n" ); document.write( "2x+y+3x+4y=70
\n" ); document.write( "3x=4y (legs of isosceles triangles are equal to each other)
\n" ); document.write( "y=3x/4
\n" ); document.write( " $\"2x%2B3x%2F4%2B3x%2B4%283x%2F4%29=70\"$
\n" ); document.write( " $\"3x%2F4%2B5x%2B3x=70\"$
\n" ); document.write( " $\"3x%2F4%2B8x=70\"$
\n" ); document.write( "lcd=4
\n" ); document.write( "3x+32x=280
\n" ); document.write( "35x=280
\n" ); document.write( "x=8
\n" ); document.write( "y=3x/4=6
\n" ); document.write( "length of each side of the triangle=3x=4y=24 units \n" ); document.write( "

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