In Euclidean Geometry, the [b]medial triangle[/b] or [b]midpoint triangle[/b] of a triangle △[i]ABC[/i] is the triangle with vertices at the midpoints of the triangle's sides AB, AC, BC. 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[/img][br][br]Construct a medial triangle below.[br][list=1][*]Use the MIDPOINT tool to find the midpoints of segments AB, BC, and CA.[/*][*]Use the SEGMENT tool to connect the midpoints of each side creating midsegments DE, EF, FD.[br][/*][/list]
[color=#ff7700]Segment DF = 5.23. What is the value of AC? Explain.[/color]
[color=#ff0000]Segment AD = 3.36. What is the value of BD and EF? Explain.[/color]
[color=#0000ff]Segment FC = 5.63. What is the value of BF and DE? Explain.[/color]
What do you notice about the side lengths of triangles ADE and DBF? What does this say about these two triangles?
What is the perimeter of triangle ABC?
[color=#0000ff]What is the measure of angle ECF? Explain.[/color]
[color=#ff7700]What is the measure of angle DBF? Explain.[/color]
Are there any other missing angle measures that you could find in this figure?