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EXAMPLE 1

Triangles are used for strength in roof trusses. In the diagram, UV and VW are midsegments of. RST . Find UV and 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.

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EXAMPLE 1

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

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