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In Delta LMN,MN=18,NL=15 and LM=4 . Which statement about the angles of Delta LMN must be true? Answer mangle Mgt mangle Ngt mangle L mangle Lgt mangle Ngt mangle M mangle Lgt mangle Mgt mangle N mangle Ngt mangle Mgt mangle L mangle Mgt mangle Lgt mangle N mangle Ngt mangle Lgt mangle M

Pergunta

In Delta LMN,MN=18,NL=15 and LM=4 . Which statement about the angles of Delta LMN must be true?
Answer
mangle Mgt mangle Ngt mangle L
mangle Lgt mangle Ngt mangle M
mangle Lgt mangle Mgt mangle N
mangle Ngt mangle Mgt mangle L
mangle Mgt mangle Lgt mangle N
mangle Ngt mangle Lgt mangle M

In Delta LMN,MN=18,NL=15 and LM=4 . Which statement about the angles of Delta LMN must be true? Answer mangle Mgt mangle Ngt mangle L mangle Lgt mangle Ngt mangle M mangle Lgt mangle Mgt mangle N mangle Ngt mangle Mgt mangle L mangle Mgt mangle Lgt mangle N mangle Ngt mangle Lgt mangle M

Solução

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GabrielMestre · Tutor por 5 anos

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To determine the relationship between the angles of triangle LMN, we can use the fact that in a triangle, the larger the side, the larger the angle opposite to it.<br /><br />Given that MN = 18, NL = 15, and LM = 4, we can see that MN is the longest side, followed by NL, and opposite to the longest side MN, which is angle L, must be the largest angle. Similarly, the angle opposite to the shortest side LM, which is angle N, must be the smallest angle.<br /><br />So, the correct statement about the angles of triangle LMN is:<br /><br />$m\angle L\gt m\angle N\gt m\angle M$
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