Question 975070
In a right angled triangle, the hypotenuse is 6 cm longer than the shortest side. The third side is the average of the other two. How can I know what the other two are?
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c = hyp = a + 6
b = (a + a+6)/2 = a+3
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Not sure what you mean by the "other two"
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{{{a^2 + b^2 = c^2}}}
{{{a^2 + (a+3)^2 = (a+6)^2}}}
{{{2a^2 + 6a + 9 = a^2 + 12a + 36}}}
{{{a^2 - 6a - 27 = 0}}}
(a - 9)*(a + 3) = 0
a = 9  (Ignore a = -3)
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Sides are:
9, 12, 15