Question 1110384
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The side lengths are 20, x, and 2x-4.<br>
(1) If 20 is the long side, then
{{{x+2x-4 > 20}}}
{{{3x-4 > 20}}}
{{{3x > 24}}}
{{{x > 8}}}<br>
x has to be greater than 8.<br>
To verify that this is a limiting value, note that if x=8 the sides are 20, 8, and 12, and the sum of the two short side lengths is exactly equal to the long side.<br>
(2) If 2x-4 is the long side, then
{{{20+x > 2x-4}}}
{{{24 > x}}}>br>
x has to be less than 24.<br>
Again letting x be 24 we get side lengths of 20, 24, and 44; and again the sum of the two short side lengths is exactly equal to the long side.<br>
Answer: x can be any number greater than 8 and less than 24.