Question 1079912
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If this corner is the right angle, then

{{{sqrt(x^2 +(x+2)^2)}}} = 6 --->

{{{x^2 + x^2 + 4x + 4}}} = 36  --->  

{{{2x^2 + 4x - 32}} = 0,

{{{x^2 + 2x - 16}}} = 0,

{{{x[1,2]}}} = {{{(-2 +- sqrt(2^2+4*16))/2}}} = {{{(-2 +- sqrt(68))/2}}} .

The only positive root is {{x}}} = {{{(sqrt(68)-2)/2}}} = 3.123 ft (approximately).

<U>Check</U>.  {{{sqrt(3.123^2 + (3.123+2)^2)}}} = 5.9999.   Good !


<U>Answer</U>.  the length of the shorter side is  {{{(sqrt(68)-2)/2}}} = 3.123 ft (approximately).
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