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In ∆Lmn, Ray Mt Bisects ∠Lmn If Lm = 6, Mn = 10, Tn = 8, Then Find Lt. - Geometry Mathematics 2

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प्रश्न

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

योग

उत्तर

\[\text{In} \bigtriangleup \text{LNM}, \]
\[\frac{\text{LT}}{\text{NT}} = \frac{\text{LM}}{\text{NM}} \left( \text{ By angle bisector theorem } \right)\]
\[ \Rightarrow \frac{\text{LT}}{8} = \frac{6}{10}\] 

\[\Rightarrow \text{LT} = \frac{8 \times 6}{10}\]
\[ = 4 . 8\]

Hence, the measure of LT is 4.8.

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Property of an Angle Bisector of a Triangle
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अध्याय 1: Similarity - Practice Set 1.2 [पृष्ठ १५]

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बालभारती Geometry (Mathematics 2) [English] 10 Standard SSC Maharashtra State Board
अध्याय 1 Similarity
Practice Set 1.2 | Q 8 | पृष्ठ १५

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