Triangle town wants to build a school that is equidistant from its three cities L, M, and N. Which construction correctly finds
the best location of the school?
Option choices are...
A. Construction Y because point E is the incenter of ΔLMN
B. Construction Y because point E is the circumcenter of ΔLMN
C. Construction X because point C is the incenter of ΔLMN
D. Construction X because point C is the circumcenter of ΔLMN
Option choices are...
A. Construction Y because point E is the incenter of ΔLMN
B. Construction Y because point E is the circumcenter of ΔLMN
C. Construction X because point C is the incenter of ΔLMN
D. Construction X because point C is the circumcenter of ΔLMN
1 answer:
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We have
so this is indeed a difference of squares. Factorizing would give
making the answer D.
We can further factor the first term here and write
but that's clearly out of the scope of this question.