ABCD is a quadrilateral with angle ABC a right angle. D lies on the perpendicular bisector of AB. The coordinates of A and B are (7, 2) and (2, 5) respectively. The equation of line AD is y=4x-26.
I've already found the equation of the perpendicular bisector of line segment AB, which is y=5/3x-4
a) Find the coordinates of point D.
b) Find the gradient of line BC.
c) Find the value of the second coordinate c of the point C(8, c).
d) Find the area of quadrilateral ABCD.
Thanks in advance.
You did say this:
"I've already found the equation of the perpendicular bisector of line segment AB, which is y=5/3x-4"
So you know what you're doing...wonder why you're having trouble with this...
BC has same slope as the bisector: 5/3; so using b(2,5): y intercept = 5/3;
now C(8,c): c = (5/3)(8) + 5/3 = 15