If B, C, equals, 43BC=43, C, D, equals, 40CD=40, B, D, equals, 53BD=53, F, G, equals, 24FG=24, and E, G, equal

Question

If B, C, equals, 43BC=43, C, D, equals, 40CD=40, B, D, equals, 53BD=53, F, G, equals, 24FG=24, and E, G, equals, 31, point, 8EG=31.8, find the perimeter of triangle, E, F, G△EFG. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale

GPT-5 mini · Answer

Notice FG = 24 and CD = 40, and EG = 31.8 and BD = 53. Both give the same scale factor 24/40 = 31.8/53 = 0.6, so triangle EFG is similar to triangle BCD with scale 0.6.

Thus EF = 0.6·BC = 0.6·43 = 25.8. The perimeter of triangle EFG is
24 + 31.8 + 25.8 = 81.6.

Answer: 81.6

If B, C, equals, 43BC=43, C, D, equals, 40CD=40, B, D, equals, 53BD=53, F, G, equals, 24FG=24, and E, G, equals, 31, point, 8EG=31.8, find the perimeter of triangle, E, F, G△EFG. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale

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