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24 : OX = 6 : 13
6.OX = 13 . 24
OX = 13 . 24 / 6
OX = 13 . 4
OX = 52 cm
3) QS² = QR² - RS²
= 2,5² - 2²
= 6,25 - 4
= 2,25
QS = √2,25
= 1,5
PR : QS = RO : SO
6,5 : 1,5 = RO : (2 - RO)
1,5 .RO = 6,5 (2 - RO)
1,5.RO = 13 - 6,5 RO
13 = 6,5 RO + 1,5 RO
13 = 8.RO
RO = 13/8
PO² = PR² + RO²
= 6,5² + (13/8)²
= (13/2)² + (13/8)²
= (169 / 4) + (169 / 64)
= (16 .169 + 169) / 64
= 17.169 / 64
PO = √(17 . 169 /64)
= 13/8 √17
PR : QS = PO : QO
6,5 : 1,5 = PO : (PQ - PO)
13 : 3 = 13/8 √17 : (PQ - 13/8 √17)
13/8 √17 . 3 = 13 (PQ - 13/8 √17) ... kedua ruasd bagi dengan 13
3/8√17 = PQ - 13/8 √17
PQ = 13/8 √17 + 3/8 √17
PQ = 16/8 √17
PQ = 2√17
keterangan : titik O titik potong RS dan PQ
no. 2 ... lihat sketsa dibawah ini