Hi, these are questions in grade 12 geometry course i'm taking. Please Help me out!
Now, using the trig ratio for tangent, we see that
........ means the length of the line connecting A and C
So we have
Note thatquestion (b) says: BCi s a quarter circle with centre at (0,0). Line AD has equation y=x.
Also note that the angle the line y = x makes with the x-axis is , or
Using the trig ratio for sine we see that
.........E is the point where a vertical line from D cuts the x-axis, |DE| represents the length of that line
These questions are a bit vague to me. I guess we could do the last one without introducing a new point, if we used the cosine rule or something like that
Given a triangle in plane we can get the and axis anywhere in that plane. So we can get axis passing through and and axis passing through .
Now, if there are two points , then the midpoint of the segment has the coordinates and . Then .
The equation of the line passing through is or
Using one of these equations you can now write the equations of and , then solve the system formed by these equations to find the coordinates of .
Then you can use the distance formula between two points in plane:
to calculate and
It is more clear now?