A is the point (-6,1) and B is the point (10,3)
Find the coordinates of point C on AB such that AC = 3BC
Pls find the simplest way to do the question and write your working.
Thanks in advance
2007-06-20 17:53:10 · 2 answers · asked by paulscoles b 1 in Science & Mathematics ➔ Mathematics
Let C ≡ (x,y)
l(AC) = 3(BC)
l(AC):l(BC) = 3:1 = m:n(say)
Apply internal section formula
x = (-6*1 + 10*3)/(3+1)
= 24/4 = 6
y = (1*1 + 3*3)/(3+1)
= 10/4 = 2.5
Thus C≡ (6,2.5)
2007-06-20 17:55:56 · answer #1 · answered by Som™ 6 · 3⤊ 0⤋
Determine the length of AB = sqrt(16^2+2^2)= sqrt(260). 16 is (10-(-6)) and 2 is (3-1). This is slightly larger than 16. C is a point at which AC is 75% of the total distance to AB. So the coordinates would be slightly larger than (6,2.5)
2007-06-21 01:01:36 · answer #2 · answered by cattbarf 7 · 0⤊ 0⤋