Find QP using given information in the figure :[Figure: Δ MNP with N at the lower left, M at the top and P at the lower right. Seg NQ is drawn to side MP, and the two angles at N are marked equal, so NQ bisects ∠MNP. MN = 25, MQ = 14, NP = 40.]

Q.2 (B)(1) Find QP using given information in the figure :

[Figure: Δ MNP with N at the lower left, M at the top and P at the lower right. Seg NQ is drawn to side MP, and the two angles at N are marked equal, so NQ bisects ∠MNP. MN = 25, MQ = 14, NP = 40.]

Doubtly Asked 25 Oct 2026 ssc 10th Save WhatsApp Report

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Answer: QP = 22.4

In Δ MNP, ray NQ bisects ∠MNP, so by the property of the angle bisector of a triangle,

\(\dfrac{MQ}{QP} = \dfrac{MN}{NP}\)

\(\dfrac{14}{QP} = \dfrac{25}{40}\)

∴ QP = \(\dfrac{14 \times 40}{25} = \dfrac{560}{25} = 22.4\).

Doubtly AI · 25 Oct 2026 AI-verified · Oct 2026 Report

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Find QP using given information in the figure :[Figure: Δ MNP with N at the lower left, M at the top and P at the lower right. Seg NQ is drawn to side MP, and the two angles at N are marked equal, so NQ bisects ∠MNP. MN = 25, MQ = 14, NP = 40.]

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