SOLUTION: the vertices of the triangle are a(-3,4),b(p,q),and c(3,4), the slopes of ab and bc are 1 and -1/2 respectively find : (a) the equations of the side of the triangle (b) the valu

Algebra ->  Triangles -> SOLUTION: the vertices of the triangle are a(-3,4),b(p,q),and c(3,4), the slopes of ab and bc are 1 and -1/2 respectively find : (a) the equations of the side of the triangle (b) the valu      Log On


   



Question 946581: the vertices of the triangle are a(-3,4),b(p,q),and c(3,4), the slopes of ab and bc are 1 and -1/2 respectively find :
(a) the equations of the side of the triangle
(b) the values of p and q

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Use point-slope form to get each of the equations for ab and for bc. You can also use point-slope form to find the equation for line ac. Doing these is just a matter of plugging values into a formula and simplifying.

For the second question, you want to use the equations for ab and bc to find their intersection point, which will be the point (p,q).