Matematika

Pertanyaan

jika keliling layang layang pqrs 70 cm panjang pr... cm
jika keliling layang layang pqrs 70 cm panjang pr... cm

1 Jawaban

  • Keliling layang layang

    = p + q + r + s

    = 70 cm

    Panjang PQ = PS

    = 70 cm - [ 15 cm + 15 cm ]

    = 70 cm - 30 cm

    = 40 cm

    = 40 cm : 2

    = 20 cm

    Panjang ST

    [tex] \sqrt{15 {}^{2} - 9 {}^{2} } \\ \\ = \sqrt{225 - 81} \\ \\ = \sqrt{144} \\ \\ = 12 \: cm[/tex]

    Panjang PT

    [tex] \sqrt{20 {}^{2} - 12 {}^{2} } \\ \\ = \sqrt{400 - 144} \\ \\ = \sqrt{256} \\ \\ = 16 \: cm[/tex]


    Panjang PR

    = 16 cm + 9 cm

    = 25 cm


    Jadi panjang PR adalah 25 cm