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Roof Truss Strength with Triangles: Midsegment Theorem Application

Learn how triangles enhance roof truss stability using the Midsegment Theorem. Calculate lengths of segments UV, VW, RS for effective construction. Practice with guided exercises for a thorough understanding.

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Roof Truss Strength with Triangles: Midsegment Theorem Application

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  1. Triangles are used for strength in roof trusses. In the diagram, UVand VWare midsegments of RST. Find UVand RS. 1 1 2 2 RT ( 90 in.) = 45 in. = = UV VW ( 57 in.) 2 2 = 114 in. = = RS EXAMPLE 1 Use the Midsegment Theorem to find lengths CONSTRUCTION SOLUTION

  2. ANSWER UW 2. In Example 1, suppose the distance UWis 81 inches. Find VS. ANSWER 81 in. for Example 1 GUIDED PRACTICE 1. Copy the diagram in Example 1. Draw and name the third midsegment.

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