I would greatly appreciate if someone could please help me with this geometry problem. I've been struggling with it for a while now.

Question

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Triangle ABC has vertices A(2,4), B(6,1), and C(-1,0). DE is a midsegment of △ABC. Find the coordinates of D and E.

Answer 1

A midsegment connects the midpoints of two sides of a triangle. Use the midpoint formula to find the coordinates of the midpoint of a side with endpoints (x₁,y₁) and (x₂,y₂):

Midpoint = ( (x₁+x₂)/2 , (y₁+y₂)/2 )

For instance, if point D is the midpoint of line AB:

D = ( (2+6)/2, (4+1)/2 ) = (4, 2.5)

You can find point E.

Answer 2

HI Jesset, a midsegment connects the midpoints of two sides of a triangle. So you have 3 possible pairs of midpoints, since the triangle has three sides. You decide! You know how to find the midpoint of a side, right? Its coordinates are just the average of the coordinates of the two vertices (take x and y coordinates separately, please!)

- Cheers, --Mr. d.