Matematika

Pertanyaan

Diketahui keliling segitiga ABC= 75cm. Panjang sisi AB= 25cm dan sisi BC= 20cm. Tentukan luas segitiga ABC

1 Jawaban

  • Dik:
    => K(ABC) = 75cm
    => AB = 25cm
    => BC = 20cm
    Dit: L(ABC) = ?
    Jwb:
    => AC = K-(AB+BC) = 75-(25+20) = 75-45= 30cm
    => L(ABC) = 1/2(a×t)
    => L(ABC) = 1/2(AC×t)
    Mencari tinggi: t = akar(AB^2-(1/2AC)^2)
    ============> t = akar(25^2-(1/2×30)^2)
    ============> t = akar(625-15^2) = akar(625-225) = akar(400) = 20cm

    Maka, L(ABC) = 1/2(AC×t) = 1/2(30×20) = 1/2(600) = 300cm2

    Maaf kalau salah yaa... ^^

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