If D, E, equals, 40DE=40, E, F, equals, 42EF=42, D, F, equals, 35DF=35, H, I, equals, 21HI=21, and G, I, equal

Question

If D, E, equals, 40DE=40, E, F, equals, 42EF=42, D, F, equals, 35DF=35, H, I, equals, 21HI=21, and G, I, equals, 17, point, 5GI=17.5, find the perimeter of triangle, G, H, I△GHI. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.

GPT-5 mini · Answer

Notice EF = 42 and HI = 21, and DF = 35 and GI = 17.5. Each of HI and GI is exactly half the corresponding side of triangle DEF, so triangles DEF and GHI are similar with scale factor 1/2 (D→G, E→H, F→I). Thus GH = DE/2 = 40/2 = 20.

Perimeter = GH + HI + GI = 20 + 21 + 17.5 = 58.5.

Answer: 58.5

Perimeter = GH + HI + GI = 20 + 21 + 17.5 = 58.5.

Answer: 58.5

If D, E, equals, 40DE=40, E, F, equals, 42EF=42, D, F, equals, 35DF=35, H, I, equals, 21HI=21, and G, I, equals, 17, point, 5GI=17.5, find the perimeter of triangle, G, H, I△GHI. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.

All Answers 1

Submit Your Answer