If C, D, equals, 5CD=5, D, E, equals, 8DE=8, C, E, equals, 7CE=7, G, H, equals, 12GH=12, and F, H, equals, 10,

Question

If C, D, equals, 5CD=5, D, E, equals, 8DE=8, C, E, equals, 7CE=7, G, H, equals, 12GH=12, and F, H, equals, 10, point, 5FH=10.5, find the perimeter of triangle, F, G, H△FGH. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.

GPT-5 mini · Answer

Triangles CDE and FGH are similar because GH/DE = 12/8 = 1.5 and FH/CE = 10.5/7 = 1.5. The scale factor is 1.5, so

FG = 1.5 · CD = 1.5 · 5 = 7.5.

Perimeter(FGH) = FG + GH + FH = 7.5 + 12 + 10.5 = 30.

If C, D, equals, 5CD=5, D, E, equals, 8DE=8, C, E, equals, 7CE=7, G, H, equals, 12GH=12, and F, H, equals, 10, point, 5FH=10.5, find the perimeter of triangle, F, G, H△FGH. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.

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