The construction of ∆ LMN in which LM = 8 cm, ∠L = 45° is possible when (MN + LN) is
A. 6 cm
B. 7cm
C. 9 cm
D. 10 cm
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The triangle inequality rule states that the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.
In △LMN, if MN=7 cm then LM−LN<7 cm
This is not possible, from the given options, if LM−LN=7.5 cm
Option D.
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