document.write( "Question 1200184: The following side lengths, in meters, were given to a carpenter to build a front porch with a triangular design. The carpenter needs to determine which set of lengths will make a triangle to be able to use it in his design.
\n" );
document.write( "Option 1: Side lengths: 4, 4, 8
\n" );
document.write( "Option 2: Side lengths: 6, 8, 10
\n" );
document.write( "Option 3: Side lengths: 6, 6, 13
\n" );
document.write( "Part A. Which of the options would create a triangle for his design?
\n" );
document.write( "Part B. The homeowner would like the porch to be in the shape of a right triangle. Will the carpenter be able to use any of the given options?
\n" );
document.write( "Part C. For any option that does not form a triangle, what side length could be changed to
\n" );
document.write( "form a triangle? Explain your answer. \n" );
document.write( "
Algebra.Com's Answer #834249 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "According to triangle inequalities, options (1) and (3) do not create a triangle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Triangle (2) is a right-angled triangle: you can check it on your own, \n" ); document.write( "using the Pythagorean theorem.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |