SOLUTION: Triangle XYZ has vertices x(0, 0), y(10, 0), and z(0, 6). Triangle MYP has vertices M(5, 0), Y(10, 0), and P(x, y). Determine the missing coordinates for if triangle MAP ~ CUZ.

Algebra ->  Linear-equations -> SOLUTION: Triangle XYZ has vertices x(0, 0), y(10, 0), and z(0, 6). Triangle MYP has vertices M(5, 0), Y(10, 0), and P(x, y). Determine the missing coordinates for if triangle MAP ~ CUZ.       Log On


   

Question 1097546: Triangle XYZ has vertices x(0, 0), y(10, 0), and z(0, 6). Triangle MYP has vertices M(5, 0), Y(10, 0), and P(x, y). Determine the missing coordinates for if triangle MAP ~ CUZ.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Triangle XYZ jas horizontal side XY, with length 10-0=10 ,
and vertical side XZ, with length 6-0=6 , perpendiculer to XY.

If triangle MYP is similar to XYZ,
the side of MYP corresponding to side XY in XYZ is MY,
with length 10-5=5 , half the length of XY.
Then, side MP, corresponding to side XZ, would be perpendicular to MY
(a vertical side), with length 6%2F2=3 , half the length of XZ.
If both triangles were named clockwise,
the third vertex of MYP is P%285%2C3%29 .


I have no way of knowing anything about points A, C, and U,
or triangles MAP and CUZ.