Solving for Midsegment Length in Isosceles Triangle

The Rock and Roll Hall of Fame triangular face in Cleveland is an isosceles triangle with a base length of 229 ft. 6 in. By using the midsegment theorem, we can find the length of the highlighted line at the halfway point of both legs of the triangle. This involves connecting the midpoints of two sides and exploring the relationships between segments in triangles.

• Isosceles Triangle
• Midsegment Theorem
• Rock and Roll Hall
• Geometry

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Uploaded on Jul 18, 2024 | 0 Views

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2. 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?

3. Section 5.1: Midsegments of Triangles LEQ: What is a midsegment of a triangle and how can it help us solve problems?

4. Need a sheet of paper, ruler, and scissors Draw a triangle and cut it out Label the vertices A,B, and C Measure AB and record your measurement B A C

5. 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? B A C L

6. A midsegment of a triangle is a segment connecting the midpoints of 2 sides. Midsegment

7. 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. R Q

8. In DEF, A, B and C are midpoints. Name pairs of parallel segments. E A B E F C Example 1

9. In EFG, H, J and K are midpoints. EF = 60, EG = 100 and HK = 40 Find HJ, JK, and FG. F HJ= J H JK= FG= E K G Example 2

10. AB = 10 and CD = 18. Find EB, BC and AC. Since AB=BC and EA=ED, E and B are midpoints, making EB a midsegment. Using the triangle, if EB = 2x and DC = 24, find the value of x. A E B D C More examples

11. 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?

12. AB = 10 and CD = 18. Find EB, BC and AC. Using the triangle, if EB = 2x and DC = 24, find the value of x. A E B D C More examples

13. 5-1 wkst Homework