Question

5. PS is a median of APQR. Prove that PQ+ QR+ PR>2PS.​

Answer 1

Answer:

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Step-by-step explanation:

(1)Sine ps is the median, s is the mid point of side QR so Qs=sR=QR/2 ,QS+sR=QR ... sides of the triangle is greater than third side) Take triangle PRS, PR+RS>pS… ... Can you show that pq+QR+rp>2ps?(2)S is any point on side QR of a ΔPQR. Show that PQ + QR + RP > 2 PS. ... Further, show the required result. ... Show that: PQ + QR + RP > 2PS. ... AM of one triangle △ABC are respectively equal to sides PQ and QR and median PN of△PQR.