1.

In figure, T is a point on side QR of ∆PQR and S is a point such that RT = ST. Prove that PQ + PR > QS

Answer» In ∆PQR we have

PQ + PR > QR

⇒ PQ + PR > QT + TR

⇒ PQ + PR > QT + ST

∴RT = ST

 In ∆QST QT + ST > SQ

∴ PQ + PR > SQ


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