00:01
All right, so we're giving three points.
00:05
The first one, a is the origin, 0 ,0.
00:09
The first one, b is 4, 5.
00:15
And lastly, the c is 5 negative 2.
00:20
All right, so question a is to draw the triangle abc in the coordinate plane.
00:26
So let us draw the triangle.
00:31
All right, so a is the origin 0, 0.
00:37
It's simple b is 4 or 5 so let's say here is b so this is 4 is 5 so it's somewhere like here so that's b 4 or 5 all right so c is 5 negative 2 so it's somewhere like here so that's c 5 negative 2 all right so we want to connect this 3 points to make a triangle all right so this is the triangle a bc all right so question b is to find the altitude from vertex b of the triangle to sign ac.
01:30
All right.
01:31
So the altitude from b to p .c is the distance from b to ac.
01:38
So it's like the distance from b to the a .c line.
01:45
All right.
01:46
So we can think of this question as the distance between a point and a lie.
01:55
Because we have a formula for that kind of question, right? so let's say now the job is to find the formula, the equation for this line.
02:07
All right, so firstly, we want to calculate the slope of this two line, which are given by this zero, zero.
02:17
So the slope of this two lines, of this line consists of these two points is negative 2 minus 0 over 5 minus 0.
02:34
So it's going to be negative 2 over 5.
02:37
All right, so by that, we can kind of get the formula of this line by using the equation.
02:50
So y minus 0 equals negative 2 over 5.
02:58
X minus 0 because it passes 0 0 which is equal to y equals negative 2 over 5 x all right so we want to write it in the standard way which is 2x plus 5 y equals 0 right because of that we can use the formula to find the distance between b and the line ac, which is given by ax times plus by plus c, take the absolute value over a square plus b square...