32.Lis on PNand Mis on RNso graph N,P, and Rand extend PNand RNso that PRdivides NLand MN.PLNP21, and PRdivides NLand MNproportionally so MRNR21. Then LP2(PN)and MR2(RN). Starting at N(8, 20), move toP(11, 16) by moving down 4 units and then right 3 units. Locate Lby moving from Pdown 8 unitsand then right 6 units. The coordinates of Lare(17, 8). Now starting at N(8, 20), move to R(3, 8)by moving down 12 units and then left 5 units.Locate Mby moving from Rdown 24 units andthen left 10 units. The coordinates of Mare (7,16).Verify that LP2(PN) and MR2(RN).PN¬(118)2(1620)2¬916¬25 or 5LP¬(1117)2(168)23664100 or 10So,LP2(PN).RN(83)2(208)225144169 or 13MR[3(7)]2[8(16)]2100576676 or 26So,MR2(RN).33.To find x:The sides of the large triangle are cut in equalparts by the segment whose length is labeled x2, so this segment is a midsegment and itslength is half the length of the segment whoselength is labeled 53x11.x2¬1253x11x2¬56x12116x2¬12116
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