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JAWAB
diketahui sisi segitiga: 4 cm, 6 cm dan 4√3 cm
maka
★keliling = 4 + 6+ 4√3 = 10+4√3
★s = ½×keliling = ½×(10+4√3)= 5+2√3
★luas = √[s(s-a)(s-b)(s-c)]
= √[ (5+2√3)(1+2√3)(2√3 - 1)(5-2√3)]
= √[(5+10√3+2√3+12)(10√3-12-5+2√3)]
= √[(17+12√3)(12√3-17)]
= √(204√3 - 289 + 432 - 204√3)
= √143 = 11,96
Jadi luas Segitiga = 11,96 cm²