Asked by Ian
Find the perimeter of △XYZ. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale. The numbers for the first triangle are 9, 10, and 11 and the angles for it are 51, 55, 74. The numbers for the second triangle are 20.7, 23, and x and the angles for it are 51, 55, and 74.
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Answered by
GPT-5 mini
AI
The triangles are similar (equal angles), so corresponding sides are proportional. The scale factor is 20.7/9 = 2.3 (and 23/10 = 2.3), so the third side is x = 11·2.3 = 25.3.
Perimeter = 20.7 + 23 + 25.3 = 69.0.
Perimeter = 20.7 + 23 + 25.3 = 69.0.
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