linia mijlocie = 5 => AB = AC = 5 * 2 = 10
linia mijlocie = 6 => BC = 6 * 2 = 12
Aria = √p(p-AB)(p-AC)(p-BC) - Formula lui Heron
p = (AB +AC + BC)/2 = (10 + 10 + 12) / 2 =32 / 2 = 16
Aria = √16(16-10)(16-10)(16-12) = √16 * 6 * 6 * 4 = √4² * 6² * 2² = 4 * 6 * 2 = 48 cm²
sau invers
linia mijlocie = 6 => AB = AC = 6 * 2 = 12
linia mijlocie = 5 => BC = 5 * 2 = 10
Aria = √p(p-AB)(p-AC)(p-BC) - Formula lui Heron
p = (AB +AC + BC)/2 = (12 + 12 + 10) / 2 =34 / 2 = 17
Aria = √17(17-12)(17-12)(17-10) = √17 * 5 * 5 * 7 = √17 * 5² * 7 = 5√119 cm²