SOLUTION: The midpoints of the sides of a triangle are (2,5),(4,2,(1,1).Find the coordinates of the three vertices.

Algebra.Com
Question 1171359: The midpoints of the sides of a triangle are (2,5),(4,2,(1,1).Find the coordinates of the three vertices.
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
The midpoints of the sides of a triangle are (2,5),(4,2,(1,1).Find the coordinates of the three vertices.



In green, duplicate the left-most side below the right-most side
with one endpoint as that vertex:



In green, duplicate the left-most side again above the right-most side:



Connect the endpoints to the other two vertices



Duplicate those last two lines at the vertices:



What are the coordinates of those green vertices?

Edwin

RELATED QUESTIONS

The midpoints of the sides of a triangle are at ( 0, -3 ), ( -1/2, 7/2 ), and ( -7/2,... (answered by MathLover1,math_tutor2020,greenestamps)
The midpoints of the sides of a triangle are at (0,-3), (-1/2,7/2) and (-7/2,1/2). Find... (answered by Edwin McCravy)
The midpoints of the sides of a triangle are at (0,-3) , (-1/2,7/2) and (-7/2,1/2) Find... (answered by mananth)
The midpoints of a triangle are (3,-1) (4,3) and (0,5). Find coordinates for the vertices (answered by stanbon)
A (0,1) , B (-2,3) , C (2,-1) are the vertices of a triangle ABC. P and Q are the... (answered by richwmiller)
Find the coordinates of the midpoints of the sides of each triangles whos vertices are... (answered by Alan3354)
Given three vertices of a triangle whose coordinates are A (1, 1), B (3, -3) and (5,... (answered by josgarithmetic)
Three of the vertices of a parallelogram are (2, 1) (4, 7), and (6, 5). What are the... (answered by KMST)
1.The three straight lines y = x, 2y = 7x , and x + 4y - 60 = 0 form a triangle. Find the (answered by ikleyn)