in triangle abc ab is = 1/2 (bc) and ac = 3/2 (ab) the perimeter of ABC is 16. 2 what is length side of bc
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Step-by-step explanation:
AB:BC = 2:3 , BC:AC =4:5 , AB +BC +AC =21
AB = 2BC/3 & BC = 4AC/5
AB = (2/3)×4AC/5
AB = 8AC / 15
2. AB + BC + AC =21
8AC/15 + 4AC/5 + AC = 21
(8 + 12 + 15)AC /15 = 21 ( upon taking L.C.M)
35AC/15 = 21
AC = 21 × (15/ 35)
AC = 9 cm
3. Upon solving,
AC = 9 cm
BC = 7.2 cm
AB = 4.8 cm
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