A 1. In AABC, M and N are mid-points of sides AB and AC respectively. M N B С (i) If MN = 4x – 2 and BC = 6x + 3, find x. (i) If ZMNC = (3y + 10)° and ZC = (y + 10)º, find y. (iii) If ZAMN = (2a + 15)° and ZB = (3a – 15)°, find a. (iv) If AB = 7 cm, BC = 10 cm, AC = 9.2 cm, find the perimeter of MNCB.
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i. SinceM,N,andParethemid−pointsofAB,ACandBCrespectively.HenceMN=21BC⟹BC=2MN⟹BC=2×3=6cmSimilarlyAC=2MP=2×2.5=5cmandAB=2NP=2×3.5=7cm
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