Hey guys, just need help with lines today:

1. Calculate the distance between each of the following pair of points. (You may give your answer with the square root sign if necessary).

a) A (1,3) and B (5,6)

b) C (2,12) and D (14,7)

c) E (8,0) and F (0,6)

d) O (0,0) and H (9,-12)

e) I (8,2) and J (-2,-3)

f) K (-1,-3) and L (-8,1)

g) M (0,-5) and N (0,-1)

2. Find the perimeter of triangle ABC correct to 1 decimal place if the

coordinates of the vertices are

a) A (7,-9), B (0,0) and C (-2,-3)

b) A (-1,-1), B (-6,2) and C (3,-2)

3. If the vertices of triange PQR are P (-3,0), Q (1,-1) and R (0,3), show that triangle PQR is isosceles.

4. The points A (1,6), B (-4,3) and C (4,1) are the vertices of a triangle.

a) show that AB$\displaystyle ^2$+AC$\displaystyle ^2$=BC$\displaystyle ^2$

b) Is triangle ABC a right-angled triangle?

5.

a) Given three points A (0,2), B (2,5) and C (4,8), calculate the lengths of AB, BC and AC.

b) Do the points A, B and C lie on the same straight line? Give reason.