Given the vertices of triangle ABC, A(1,2), B(2,3), C(2,-5), determine the median AE?

Expert Answers

An illustration of the letter 'A' in a speech bubbles

The median AE is the line joining the point A(1,2) to the point between the points B(2, 3) and C(2 , -5).

Note: I am providing the equation of the median AE which I believe is what you want.

The coordinates of the pint between two points (x1, y1) and...

Unlock
This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your 48-Hour Free Trial

The median AE is the line joining the point A(1,2) to the point between the points B(2, 3) and C(2 , -5).

Note: I am providing the equation of the median AE which I believe is what you want.

The coordinates of the pint between two points (x1, y1) and (x2, y2) is [( x1 + x2)/2 , (y1 + y2)/2]

The mid point E between B and C is [( 2+2)/2, (3 - 5)/2] = (2 , -1)

The equation of the line joining A and E is:

y - 2 = [( -1 - 2)/(2 - 1)]( x - 1)

=> y - 2 = -3*(x - 1)

=> y - 2 = -3x + 3

=> 3x + y - 5 = 0

The median AE is 3x + y - 5 = 0

Approved by eNotes Editorial Team