SOLUTION: 1.The three straight lines y = x, 2y = 7x , and x + 4y - 60 = 0 form a triangle. Find the equations of the three medians, and calculate the coordinates of their point of intersecti

Algebra ->  Circles -> SOLUTION: 1.The three straight lines y = x, 2y = 7x , and x + 4y - 60 = 0 form a triangle. Find the equations of the three medians, and calculate the coordinates of their point of intersecti      Log On


   



Question 1185153: 1.The three straight lines y = x, 2y = 7x , and x + 4y - 60 = 0 form a triangle. Find the equations of the three medians, and calculate the coordinates of their point of intersection.

a. The points D(2, -3), E(-1, 7), F(3, 5) are the mid-points of the sides BC, CA, AB respectively of a triangle. Find the equations of its sides.
b. Prove that the points (1,−1), (-1, 1), (√3,√3) are the vertices of an equilateral triangle. Find the coordinates of the point of intersection of the medians of this triangle.

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.

One and ONLY ONE problem/question per post.



It is the RULE,  the  POLICY  and the  REQUIREMENT  of this forum.

It is written in this page

https://www.algebra.com/tutors/students/ask.mpl?action=ask_question&topic=Equations&return_url=http://www.algebra.com/algebra/homework/equations/

from which you post your problems.


It is assumed that you read these rules before posting.

It is also assumed that you do understand what is written in that page and follow the rules.


Those who violate them,  work against their own interests.


*******************************************************************

        So   P L E A S E   post your problems   S E P A R A T E L Y  (!)

*******************************************************************