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Midsegments of Triangles: Find BD and AE Lengths

Discover the lengths of BD and AE in a triangle with AE = 15 and BD = 7.5 using midsegment properties and equations. Solve for x and apply the values to determine the lengths of BD and AE. Practice solving similar equations and master midsegment concepts.

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Midsegments of Triangles: Find BD and AE Lengths

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  1. Please get a warm up and begin working.

  2. C midsegment B ½ X D A E X Midsegments of Triangles • A segment whose endpoints are the midpoints of two sides. • It is parallel to one side of the triangle • The measure is ½ of that side. If AE = 15 Find the measure of BD BD = 7.5

  3. C 3X - 5 A E B X D X + 2 B D A E C X2 + 1 TRY THIS 3X – 5 = 2(X + 2) 3X – 5 = 2X + 4 X = 9 AE = 22 units BD = 11 X2 + 1 = 2 (X) X2 – 2X + 1 = 0 (X – 1) (X – 1) = 0 X = 1 BD = 1 units AE = 2 units AND THIS

  4. C B D A E Uno mas Find the lengths of BD and AE if BD = 4x – 4 and AE = 10x – 12 2(4x-4) = 10x – 12 8x – 8 = 10x -12 4 = 2x X = 2 BD = 4 AE = 8

  5. Please get a piece of patty paper and a straight edge • Create a large triangle, call it ∆ABC • Find the midpoints of each side. • Create the midsegments. • State which sides are parallel.

  6. Assignment Pg 288: 7 – 57 odds

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