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In DeltaLMN, ray MT bisects /LMN. If LM=...

In `DeltaLMN`, ray MT bisects `/_LMN`. If `LM=6, MN=10`. `TN=8` then find LT.

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In `DeltaLMN`,
ray MT bisects `/_LMN` ………(given)
`:.` by the theorem of angle bisector of a triangle,
`(LM)/(MN)=(LT)/(TN)`
`:.6/10=(LT)/8`
`:.LTxx10=6xx8`
`:.LT=(6xx8)/10`
`:.LT=24/5`
`:.LT=4.8`
`LT=4.8`
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