Q8 of 49 Page 13

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

Theorem: The bisector of an angle of a triangle divides the side opposite to the angle in the ratio of the remaining sides.

⇒


⇒ LT =


⇒ LT =


⇒ LT = 4.8


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Proof : IN



(Basic proportionality theorem)


In



(converse of basic proportionality theorem)