मराठी

In Li.Pqr, Bisectors of Lpqr and Lprq Meet at I. Prove that I is Equidistant from the Three Sides of the Triangle 1 and Pi Bi Sects L Qpr . - Mathematics

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प्रश्न

In Δ PQR, bisectors of  ∠ PQR and ∠ PRQ meet at I. Prove that I is equidistant from the three sides of the triangle , and PI bisects ∠ QPR . 

आकृती

उत्तर

Since I lies on bisector of  ∠ R, I is equidistant from PR and QR. 

Again I lies on the bisector of ∠ Q , I is equidistant from PQ and QR. 

Hence , I is equi distant from alI sides of the triangle. 

Therefore, I lies on the bisector of ∠ P i.e  ∠ QPR .

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पाठ 16: Loci - Exercise 16.1

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