Question:

In D LMN, ray MT bisects LMN. If LM = 6, MN = 10, TN = 8, then find LT.

Answer:

Given ray MT bisects LMN.
LM = 6
MN = 10
TN = 8
Since ray MT bisects LMN , LM/MN = LT/TN [Angle bisector theorem]
6/10 = LT/8
LT = 6×8/10
LT = 4.8
Hence measure of LT is 4.8 units.

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In D LMN, ray MT bisects LMN. If LM = 6, MN = 10, TN = 8, then find LT.

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