00:01
So in this question, we're told that the line ac is parallel to the x -axis.
00:06
The point a has coordinates 49, and the point b has coordinates 1712.
00:11
We want to work out the coordinates of points c and d.
00:16
So here's the idea.
00:18
Let's call the hypotenuses of the triangles z.
00:23
So let's see these hypotenuses, these are all zes, we'll say.
00:27
We'll say that the long legs of the triangle, the long legs, maybe those are y.
00:36
So the long legs of the triangle, they're y.
00:42
And then the short legs of the triangle will say those are x.
00:47
So x, x, x, x, x.
00:51
And let's get values of x, y, and z as needed.
00:56
So the first thing i would notice is that this heart.
01:01
Horizontal distance has to be 13.
01:05
That horizontal distance has to be 13, which means 2x plus y has to be equal to 13.
01:17
Now, how about the vertical distance? well, notice we went up and down by y.
01:29
So those sort of cancel out.
01:32
But notice this guy here is x, right? and so that x is really the vertical distance between a and b, my x this time is going to have to be three.
01:44
So my x is three.
01:47
Now that tells me that two times three plus y equals 13...