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प्रश्न
Given below is the triangle and length of line segments. Identify in the given figure, ray PM is the bisector of ∠QPR.
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उत्तर
In ΔPQR,
`"PR"/"PQ" = 10/9` ...(1)
`"RM"/"QM" = 4/3.6 = (4xx10)/(3.6xx10)=40/36=10/9` ...(2)
From Equation (1) & (2)
∴ `"PR"/"PQ" = "RM"/"QM"`
By converse of angle bisector theorem, ray PM is the bisector of ∠QPR.
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संबंधित प्रश्न
Given below is the triangle and length of line segments. Identify in the given figure, ray PM is the bisector of ∠QPR.
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In △PMQ, ray MX is bisector of ∠PMQ.
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∴ `(PX)/(XQ) = (PY)/(YR)`
∴ XY || QR .......... converse of basic proportionality theorem.
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