SOLUTION: the base of a triangle is given by the co-ordinates of the end points (0,0), (0,6). If the slopes of the other two sides are 2 and - 2/3, determine the co-ordinates of the third ve

Algebra.Com
Question 601037: the base of a triangle is given by the co-ordinates of the end points (0,0), (0,6). If the slopes of the other two sides are 2 and - 2/3, determine the co-ordinates of the third vertex.
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Actually, the third vertex can be in one of two places. If the slope 2 line goes through (0,6) and the slope line goes through (0,0) you have one case. If the lines are reversed you have another case.

Case 1: slope 2 line through (0,6). Equation of this line: (Slope-intercept form.) Slope line through (0,0). Equation of this line:

Solve the system of equations:



for the ordered pair which is the point of intersection of the two lines.

The other case has the following system of equations:





John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism


RELATED QUESTIONS

two sides of a square have the equation 5x+12y-10=0 and 5x+12y+29=0 the co-ordinates... (answered by venugopalramana)
5. Determine graphically the co-ordinates of the vertices of a triangle, the equation of... (answered by KMST)
Determine graphically,the co-ordinates of the vertices of th triangle bounded by... (answered by Alan3354,KMST)
find the co-ordinates of the points on the line X+5Y=13 at a distance of 2 units from the (answered by jsmallt9)
THE DISTANCE BETWEEN A AND B IS 20^1/2, THE CO-ORDINATES OF A IS GIVEN (7,2) FIND CO... (answered by Alan3354)
It says:you are given the equation:y-2x+4=0 and they say determine the co-ordinates of... (answered by solver91311)
The lines x-y-2=0 and 2x-5y-7=0 intersect at point P. Find co-ordinates of point P. The... (answered by anand429)
1. Kite ABCD has 2 of its vertices at A(-3,8) and B(7,14). 1(a). Given that the... (answered by Edwin McCravy)