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Answer:
4.3 units
Step-by-step explanation:
P(1,3) Q(5,4), R(5,15)
Slope of PR : (15-3)/(5-1) = 3
perpendicular line : QS ( say)
Slope of QS : -(1/3) ( perpendicular)
Equation of QS : (y - 4) = -(1/3)(x - 5)
= 3y + x = 9
Equation of PR : (y - 3) = 3(x-1)
= y = 3x
point S : (0.9, 2.7) ( solve above lines)
Length of QS : √[(5-0.9)^2 + (4-2.7)^2]
hence perpendicular length : 4.3units
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