using the distance formula, solve the following points;
1. a = 3,2
b = 7,5
c = 8,14
2. d = 5, -4
e = 0,8
f = -4,5
ok you seem to want the lengths of the sides if the 3 points were joined to form a triangle
using the distance formula, solve the following points;
1. a = 3,2 should be A(3,2)
b = 7,5 should be B(7,5)
c = 8,14 should be C(8,14)
Capital letters are used for points and the coordinates (the 2 numbers with a comma between) must but inside round brackets
So if you want the distance of the side
A(3,2) \(x_1=3,\quad y_1=2\)
B(7,5) \(x_2=7, \quad y_2=5\)
\(distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\ distance\; AB = \sqrt{(7-3)^2+(5-2)^2}\\ distance\; AB = \sqrt{(4)^2+(3)^2}\\ distance\; AB = \sqrt{16+9}\\ distance\; AB = \sqrt{25}\\ distance\; AB = 5\;units\)
now you need to go through the same steps to get distance AC and then distance BC
Hi Kath,
I think that English is not your first language, although I could be wrong. :)
What do you mean by "solve the following points" ????
There is nothing to solve.
You obviously want a distance but which distance do you want?
If you want the distance of each point to the origin (0,0) then it is exactly the same method as we used in your last question.
If that is what you want then give it a go by yourself, you can post your answers and I will check them if you want. :))
If that is not what you want then try and tell me what you do really want. :)
ok you seem to want the lengths of the sides if the 3 points were joined to form a triangle
using the distance formula, solve the following points;
1. a = 3,2 should be A(3,2)
b = 7,5 should be B(7,5)
c = 8,14 should be C(8,14)
Capital letters are used for points and the coordinates (the 2 numbers with a comma between) must but inside round brackets
So if you want the distance of the side
A(3,2) \(x_1=3,\quad y_1=2\)
B(7,5) \(x_2=7, \quad y_2=5\)
\(distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\ distance\; AB = \sqrt{(7-3)^2+(5-2)^2}\\ distance\; AB = \sqrt{(4)^2+(3)^2}\\ distance\; AB = \sqrt{16+9}\\ distance\; AB = \sqrt{25}\\ distance\; AB = 5\;units\)
now you need to go through the same steps to get distance AC and then distance BC