dalam ∆PQR, ST// QR. panjang pr=12, tr=4cm, sq=6cm, dan st=10cm hitunglah panjang pt, qr, ps
Matematika
Anonyme
Pertanyaan
dalam ∆PQR, ST// QR. panjang pr=12, tr=4cm, sq=6cm, dan st=10cm hitunglah panjang pt, qr, ps
1 Jawaban
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1. Jawaban Anonyme
∆PQR
ST // QR
ST/QR = PT/PR = PS/PQ
PT = PR - TR = 12 - 4 = 8 cm
ST/QR = PT/PR
10/QR = 8/12
QR = 12 × 10/8
QR = 15 cm
PS/PQ = PT/PR
PS/PQ = PT/PR
PS/PQ = 8/12
PS/(PS + SQ) = 2/3
PS/(PS + 6) = 2/3
Kalikan silang
3PS = 2PS + 12
3PS - 2PS = 12
PS = 12 cm