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- June 25th 2007, 11:57 AM #1

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- June 25th 2007, 12:19 PM #2

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## can u see it this time?

- June 25th 2007, 12:46 PM #3

- June 25th 2007, 12:48 PM #4
The length of the base of the triangle is .

Now, using the trig ratio for tangent, we see that

........ means the length of the line connecting A and C

So we have

question (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

So

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

- June 25th 2007, 01:02 PM #5

- June 25th 2007, 01:03 PM #6

- June 25th 2007, 01:20 PM #7

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- June 26th 2007, 09:40 AM #8

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- June 26th 2007, 10:14 AM #9

- June 26th 2007, 10:17 AM #10

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- June 26th 2007, 10:19 AM #11

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- June 26th 2007, 10:39 AM #12
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?

- June 26th 2007, 11:38 AM #13

- June 27th 2007, 08:58 AM #14

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