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 ->
Length-and-distance
-> 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
Log On
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):
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
