Question 214506
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If this is an isosceles triangle, then two of the sides must be equal to each other.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2x + 5 = 2x - 6\ \Rightarrow\ 0 = -11]


That is an absurdity, no value of x makes the statement true, so those are not the two equal sides.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2x - 6 = 3x - 3\ \Rightarrow\ x = -3\  \Rightarrow\ 2x - 6 = -12]


The side of a triangle cannot have a negative measure, so those are not the two equal sides.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2x + 5 = 3x - 3\ \Rightarrow\ x = 8\ \Rightarrow 2x + 5 = 21\ \Rightarrow\ 3x - 3 = 21]


So these are the equal sides and they measure 21.  The third side is


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2(8) - 6 = 10]


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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