Находим используя формулу герона
S = √p(p - a)(p - b)(p - c) =
= √45(45 - 37)(45 - 13)(45 - 40) =
= √45·8·32·5 = √57600 = 240 (м)2
p = a + b + c2 = 12 (44 + 33 + 15) = 46
S = √p(p - a)(p - b)(p - c) =
= √46(46 - 44)(46 - 33)(46 - 15) =
= √46·2·13·31 = √37076 = 2√9269 ≈ 192.55129186790722 (м)2
p = a + b + c2 = 12 (12 + 5 + 12) = 14.5
S = √p(p - a)(p - b)(p - c) =
= √(14.5)(14.5 - 12)(14.5 - 5)(14.5 - 12) =
= √(14.5)·(2.5)·(9.5)·(2.5) = √860.9375 = 5√5514 ≈ 29.341736485763757 (м)2
p = a + b + c2 = 12 (12 + 9 + 15) = 18
S = √p(p - a)(p - b)(p - c) =
= √18(18 - 12)(18 - 9)(18 - 15) =
= √18·6·9·3 = √2916 = 54 (м)2
p = a + b + c2 = 12 (15 + 8 + 17) = 20
S = √p(p - a)(p - b)(p - c) =
= √20(20 - 15)(20 - 8)(20 - 17) =
= √20·5·12·3 = √3600 = 60 (м)2
p = a + b + c2 = 12 (18 + 24 + 30) = 36
S = √p(p - a)(p - b)(p - c) =
= √36(36 - 18)(36 - 24)(36 - 30) =
= √36·18·12·6 = √46656 = 216 (м)2