Monday, April 16, 2007

Vertifying Geometry

Hi, everyone_ This is first time blogging, so im really excited -_-
Today's lesson was not really a new stuff_
And also it was very short_ made it very easy for me;
Ok, so here's the question'

Given points A(-1,3) B(0,5) C(-2,6) , Vertify △ABC is a right triangle.

Well, if you have no idea how to do it, you might choose to just draw it,
but it won't vertify anything_
so we have to consider these characteristics of right triangle_

1)





This is Pythagorean theorem that can be used for one of the ways to solve this problem =)
You first calculate the distances of each side and see if this works or not_

2)We can calculate the slopes of sides and see if two pairs of adjacent sides are negative recicprocals of each other. If they are, they must be perpendicular which gives us 90˚.



3)Hardest way, we can consider angle measurements. One must be 90˚. I don't even know how to do this.



So, let's do the easiest way and get all three of the sides.





Today's lesson was just this_ I'm kind of feel something is missing.
So I will do another question for bonus that was on today's Exercise 23 #1-7.

I choose #4!




Line l₁contains the points (x,3) and (-2,1). Lince l₁is perpendicular to l₂which contains the points (5,-2) and (1,-4). Find the value of x.




Here's how you do it, or , i did it_

ok, i guess my blog is over_ almost_ lol So.. do i have to pick someone?
o well, Francis?

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