Matematika

Pertanyaan

Pada gambar di atas, hitung panjang PS !
Pada gambar di atas, hitung panjang PS !

1 Jawaban

  • PR = 12
    RQ = 5

    PQ^2 = PR^2 + RQ^2
    PQ^2 = 12^2 + 5^2
    PQ^2 = 144 + 25
    PQ^2 = 169
    PQ = V169
    PQ = 13

    L segitiga PQR => 1/2 × PR × RQ = 1/2 × PQ × RS
    => 1/2 × 12 × 5 = 1/2 × 13 × RS
    => 30 = 6,5 × RS
    => RS = 30/6,5
    => RS = 4,6

    PS^2 = PR^2 - RS^2
    PS^2 = 12^2 - (4,6)^2
    PS^2 = 144 - 21,16
    PS^2 = 122,85
    PS = V122,85
    PS = 11,08