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Mathematics 16 Online
taetae:

You are assembling a swing for a playground. The horizontal crossbar that attaches at the midpoint of each pair of legs is 28 inches long. Assuming that the crossbars are parallel to the ground, how far apart will the bottoms of the legs of the swing be when the swing is completely assembled?

Vocaloid:

ok this question is a bit hard to understand but I think this is the idea for the swing |dw:1581125771363:dw|

Vocaloid:

according to the triangle midsegment theorem, when there is a segment drawn between the midpoints of two sides of a triangle, that is also parallel to the third side, then the first segment is 1/2 the length of the third side in our example, the blue segment is 1/2 of the green segment using the information from the problem + the triangle midsegment theorem, it should be clear what the length of the green segment is

taetae:

but how many inches would that be

Vocaloid:

well, the problem says that the crossbar is 28 inches, right? and according to the theorem, the distance between the legs is twice the crossbar so the distance between the legs = ?

Vocaloid:

it's just a simple multiplication problem |dw:1581126754340:dw|

taetae:

oooooo thank ya

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