On a piece of graph paper, plot the following points: A (0, 0), B (5, 0), and C (2, 4). These coordinates will be the vertices of a triangle. Using the Midpoint Formula, what are the midpoints of the triangle's side, segments AB, BC, and CA?

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Answer 1 · 2018-06-10T18:30:21

$color(blue)((2.5,0), (3.5,2), (1,2)$

We can find all the midpoints before we plot anything. We have sides:

$AB, BC, CA$

The co-ordinates of the midpoint of a line segment is given by:

$((x_1+x_2)/2,(y_1+y_2)/2)$

For $AB$ we have:

$((0+5)/2,(0+0)/2)=>(5/2,0)=>color(blue)((2.5,0)$

For $BC$ we have:

$((5+2)/2,(0+4)/2)=>(7/2,2)=>color(blue)((3.5,2)$

For $CA$ we have:

$((2+0)/2,(4+0)/2)=>color(blue)((1,2)$

We now plot all the points and construct the triangle:

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