document.write( "Question 1129877: An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.
\n" ); document.write( "Which lengths make sense for possible values of b? Check all that apply.
\n" ); document.write( "–2 in.
\n" ); document.write( "0 in.
\n" ); document.write( "0.5 in.
\n" ); document.write( "2 in.
\n" ); document.write( "7.9 in.
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Algebra.Com's Answer #746513 by math_helper(2461) $\"\"$ $\"About$

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0.5in and 2in are both possible.
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\n" ); document.write( "\n" ); document.write( "For a proper triangle with sides x,y,z, the triangle inequalities must hold: z < x+y, x < y+z, y < x+z
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\n" ); document.write( "\n" ); document.write( "0in is the degenerate case where one side has zero length (so it collapses to a line, and is not a proper triangle). Also $\"+0+%2B+15.7%2F2+\"$ ≯ $\"+15.7%2F2+\"$
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\n" ); document.write( "\n" ); document.write( "7.9in is too long for b, as the other sides will be (15.7-7.9)/2 = 3.9in and it won't form a closed figure. Notice $\"+3.9+%2B+3.9+\"$ ≯ $\"+7.9+\"$
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\n" ); document.write( "\n" ); document.write( "-2in is nonsensical, a >0, b>0 must be true. \r
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