A swing set needs repair. The support bar that is at the middle of the A-frame is failing and must be replaced. An image of a swing set is shown with triangle SIG drawn with a midpoint W on side SI and midpoint N on side IG. The legs of the frame SI and GI are each 5 ft long. If the crossbar WN intersects legs SI and GI at their midpoints, how far is point W from point S on the leg? The distance between point S and point G is 5 feet. Will a piece of wood that is 36 in long be long enough to replace the crossbar labeled WN? Justify your answer. Assuming the ground is flat, is WN parallel to the ground?

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06-09-2022
Mathematics

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A swing set needs repair. The support bar that is at the middle of the A-frame is failing and must be replaced. An image of a swing set is shown with triangle SIG drawn with a midpoint W on side SI and midpoint N on side IG. The legs of the frame SI and GI are each 5 ft long. If the crossbar WN intersects legs SI and GI at their midpoints, how far is point W from point S on the leg? The distance between point S and point G is 5 feet. Will a piece of wood that is 36 in long be long enough to replace the crossbar labeled WN? Justify your answer. Assuming the ground is flat, is WN parallel to the ground?

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