Question

Tolong dibantu ya kk'

Answer 1

Verified answer

Bab Kesebangunan 
Matematika SMP Kelas VIII

a] ∠ PST = ∠PQR
    ∠PTS = ∠PRQ
    ∠SPT = ∠ QPR
    ST // QR

   maka, ΔPST sebangun dengan ΔPQR

b] PS/PQ = PT/PR
    5/(5 + 3) = 4/(4 + TR)
    5/8 = 4/(4 + TR)
    5 x (4 + TR) = 8 x 4
    20 + 5 TR = 32
    5 TR = 32 - 20
    TR = 12/5
    TR = 2,4 cm

    PR = PT + TR
    PR = 4 + 2,4
    PR = 6,4 cm

    ST/QR = PS/PQ
    6/QR = 5/(5 + 3)
    QR = 6 x 8 / 5
    QR = 9,6 cm

jadi, PR = 6,4 cm; QR = 9,6 cm; TR = 2,4 cm