From her home, Cora would have to walk due north to get to her friend Irma's house and due east to get to her friend Angie's house. It is 2 miles from Cora's house to Angie's house and a straight-line distance of 3 miles from Irma's house to Angie's house. How far is Cora's house from Irma's house? If necessary, round to the nearest tenth.
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