Calcoli la misura della base AB del triangolo ABC con la formula della distanza tra due punti: AB =?(xA - xB)² + (yA - yB)² =?(25 + 16) =?41 Calcoli il coefficiente angolare m della retta del lato AB m = (yA - yB)/(xA - xB) = 4/-5 = - 4/5 Equazione del lato AB: y - yA = m(x - xA) y y - 3 = (- 4/5)(x + 3) 5y - 15 = - 4x - 12 4x + 5y - 3 = 0 (a = 4, be = 5, c = - 3) Calcoli la misura dell'altezza CH con la formula della distanza punto retta CH = |axC + byC + C|/?(a² + b²) = |12 + 5 - 3|/?(16 + 25) = 14/?41 Area(ABC) = AB*CH/2 =?41(14/?41)(1/2) = 7.
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