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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Find QP using given information in the figure.

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प्रश्न

Find QP using given information in the figure.

बेरीज
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उत्तर

In ΔMNP,
seg NQ bisects ∠MNP       ...(Given)
By angle bisector theorem,
`"MN"/"NP" = "MQ"/"QP"`
`25/40 = 14/"QP"`
QP = `(40 × 14)/25`
QP = `560/25`
QP = `112/5`
∴ QP = 22.4
Hence, the measure of QP is 22.4 units.
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Property of an Angle Bisector of a Triangle
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पाठ 1: Similarity - Practice Set 1.2 [पृष्ठ १४]

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बालभारती Geometry Mathematics 2 [English] Standard 10 Maharashtra State Board
पाठ 1 Similarity
Practice Set 1.2 | Q 6 | पृष्ठ १४

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