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Warmup: The triangular face of the Rock and Roll Hall of Fame in Cleveland, Ohio, is isosceles. The length of the base is 229ft. 6 in. What is the length of the highlighted line that lies at the halfway point of both legs of the triangle (write your answer in x ft., y in., guess if you don’t know)?
Section 5.1: Midsegments of Triangles
LEQ: What is a midsegment of a triangle and how can it help us solve problems?
1.) Fold A onto C to find the midpoint of AC. Label the midpoint L.
2.) Fold B onto C to find the midpoint of BC and label it N
3.) construct line LN
4.) measure LN.
5.) How does this compare AB?
A midsegment of a triangle is a segment connecting the midpoints of 2 sides.
Triangle midsegment theorem:
“If a segment joins the midpoints of 2 sides of a triangle, then the segment is parallel to the third side, and is half its length.”
In ∆DEF, A, B and C are midpoints. Name pairs of parallel segments.
In ∆EFG, H, J and K are midpoints.
EF = 60, EG = 100 and HK = 40
Find HJ, JK, and FG.
AB = 10 and CD = 18. Find EB, BC and AC.
Using the triangle, if EB = 2x and DC = 24, find the value of x.
The triangular face of the Rock and Roll Hall of Fame in Cleveland, Ohio, is isosceles. The length of the base is 229ft. 6 in. What is the length of the highlighted line that lies at the halfway point of both legs of the triangle?
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