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2007-10-10 06:38:03 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
1) Assume MP is the median of triangle LMN.
2) If MP is the median, then LP = NP by definition.
But that contradicts the given statement that
NP > LP
3) So, MP can not be the median of triangle LMN.
2007-10-10 06:46:34 · answer #1 · answered by Mathematica 7 · 1⤊ 0⤋
1. Assume MP is a median
2. Then P is midpoint of NL 2. definition of median
3. Then NP= LP 3, definition of midpoint
4. But NP > LP 4. Given
5 Thus MP cannot be a median because it leads to the absurdity that NP = LP when in fact NP > LP.
2007-10-10 06:55:27 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋
enable Triangle ABC have vertex A ==> area AC congruent to area AB ==> attitude C congruent to attitude B ==> attitude C or B won't be able to equivalent ninety tiers b/c the sum of the measures of the angles in a triangle are a hundred and eighty tiers. If B replaced into ninety tiers, then C might might desire to be ninety tiers besides, making attitude a nil tiers. This contradicts the reality that ABC replaced right into a triangle comparable for attitude C
2016-11-07 21:46:52 · answer #3 · answered by Anonymous · 0⤊ 0⤋