Question

Mohon bantuannya kak....

Answer 1

Gunakan titik bantu h.

misal, AH = x
maka,

AP/PH = AE/HC
AP/PH = 1/4
4 AP = PH
AP = PH/4

AP + PH = x
PH = x - AP

AP = (x - AP)/4
AP + AP/4 = x/4
5AP/4 = x/4
5AP = x
AP = x/5

AQ/QH = AF/HC
AQ/QH = 2/4
AQ/QH = 1/2
2AQ = QH

AQ + QH = x
QH = x - AQ

2AQ = x - AQ
3AQ = x
AQ = x/3

AR/RH = AG/HC
AR/RH = 3/4
4AR = 3RH

AR + RH = x
RH = x - AR

4AR = 3(x - AR)
7AR = 3x
AR = 3x/7

PQ = AQ - AP = x/3 - x/5 = 2x/15
PR = AR - AP = 3x/7 - x/5 = 8x/35

PQ : PR = 2x/15 : 8x/35
= 70x : 120x
= 7 : 12