Question

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

Answer 1

Final Answer : 4.8 units

Steps:
1) Angle Bisector Theorem :
Angle bisector of a triangle will divide the opposite side into two segments that are proportional to other sides of triangle.

Here, We can say

MN/TN.= LM/LT
=> 10/8 = 6/LT
=> LT = 8*6/10 = 4.8 units

Therefore, Length of LT is 4.8 units.

Answer 2

Answer:

here is your answer mate...

Step-by-step explanation:

HEY MATE

IN TRIANGLE LMN ,

RAY MT BISECTS < LMN

LM = 6, MN=10, TN=8

BY ANGLE BISECTOR THEOREM

LT/ TN = LM/MN

LT /8 = 6/10

LT = 6x8/10

LT = 4.8cm

HOPE IT HELPS U...

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