Find point given 2 points

From: Michael Hill (hillmw_at_ram.lmtas.lmco.com)
Date: 06/24/04 

Date: Thu, 24 Jun 2004 15:35:23 -0500

Two questions about finding the 3rd point:

I have a line consisting of the coordinates (4,6) and (12,2).
The midpoint of the line can be calculated as (8,4) using the
midpoint formula.
A right triangle is formed at the midpoint (8,4).

1) Using 2 points (8,4) and point (12,2) and the lengths of the legs
I'd like to find the 3rd point.

Assume the following data:
The small leg of the triangle is formed from (8,4) to (12,2) (call
this leg b).
The large leg of the triangle has a length of 10 (call this leg a).

2) Using 2 points (8,4) and point (12,2) and the angles of the
triangle I'd like to find the 3rd point.

Assume the following data:
The small leg of the triangle is formed from (8,4) to (12,2) (call
this leg b). This is a 30,60,90 triangle.

Can't figure out the last step

In solving 1) I can calculate the length of the hypotenuse (call this
leg c) as:
10^2 + 4^2 = c^2
100 + 16 = c^2
10.77 = c

Since I know the length of all the legs and 2 points I should be able
to apply a formula to it.

Relevant Pages

  • Re: Find point given 2 points
    ... > The midpoint of the line can be calculated as using the ... > midpoint formula. ... > A right triangle is formed at the midpoint. ... > this leg b). ...
    (sci.math)
  • Re: Why vitzivanu lehadlik ner?
    ... For example, the USDA could ... "Pulling one's leg" is a figure of speech, ... equivalent to "pulling my leg," the meanings are too inter-related. ... your system it might be a triangle. ...
    (soc.culture.jewish.moderated)
  • Re: Re-adjusting a bad triangle
    ... >> Triangle from guard: Let's say you commited the fatal sin on not ... >> I know you can sometimes underhook their leg to spin, ... Grab under their knee to pull your body around. ... even with both hands on the side of the head. ...
    (rec.martial-arts)
  • Re: Re-adjusting a bad triangle
    ... > Triangle from guard: Let's say you commited the fatal sin on not ... > I know you can sometimes underhook their leg to spin, ... Grab under their knee to pull your body around. ... the ankle to keep the leg locked in and unhook your other leg and use it to ...
    (rec.martial-arts)
  • Re: Video of my comp today.
    ... leg could have been easily underhooked by your right arm.Epecially ... I don't even squeeze a triangle tight unless I can spin out enough ... that my left leg is touching his head his right arm is the one out ... triangle....Eddie Bravo says dont get your head out, ...
    (rec.martial-arts)