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A wire is first bent into the shape of a square with side 12 in. The wire is then bent into the shape of an equilateral triangle. What is the length of a side of the triangle?




HELP!

2006-11-14 13:02:58 · 12 answers · asked by Anonymous in Science & Mathematics Mathematics

12 answers

If the square has sides of 12, the perimeter of the square is 4x12 = 48 inches. This is the length of the wire.

To find out the sides of the equilateral triangle, divide 48 by 3, since the triangle has 3 equal sides.

2006-11-14 13:05:59 · answer #1 · answered by just♪wondering 7 · 2 0

A square, by definition has equal sides. So a square with a 12 inch side, must have three other 12 inch sides. This means that your piece of wire is 12x4=48 inches long.

An equilateral triangle has three equal sides. So 48/3=16. So the answer is 16.

Seriously, this is really basic stuff. You need to get off the computer and figure out how to do this stuff yourself. Posting the questions online and expecting people to do it for you is only hurting your education.

2006-11-15 11:31:44 · answer #2 · answered by ZCT 7 · 0 0

A square is 4 equal sides. 12 x 4 = 48 inches. The wire is 48 inches long. The wire was then bent to form 3 equal sides of a triangle. 48/3 = 16 which is 16 inches.

2006-11-14 21:07:34 · answer #3 · answered by Mr Cellophane 6 · 1 0

ok this is easy! A square has all equal size sides, so if the sides are each 12 in long, and there are 4 sides, then that means you have 12x4=48in of wire. Then the wire is bent into an equilateral triangle. So it will be 48in around. Since it is an equilateral triangle, each side will be the same length, so since there are 3 sides, the length of each side will be 48/3=16in

2006-11-14 21:08:24 · answer #4 · answered by americanmimeboy 4 · 0 0

Since squares have 4 equal sides, each side is 12 in so that's a total of 4X12 or 48 inches. But equilateral triangles have only 3 equal sides, so divide 48 by 3 to see how long each side is.

2006-11-14 21:06:21 · answer #5 · answered by hayharbr 7 · 1 0

both figures must have the same perimeter, which is 4*square_side_length for square and 3*triangle_side_length for equilateral triangle, so 4*12"= 3*triangle_side_length, triangle_side_length =4*12"/3 =16"

2006-11-14 21:07:07 · answer #6 · answered by justiceforall 2 · 1 0

okay so u multiply 12 by4 to get the whole lenght of the wire which is 48. then a triangle has 3 sides so u divide it by 3 and get 16 inches

2006-11-14 21:05:31 · answer #7 · answered by Heyhey 5 · 1 0

16 in.
12 x 4 = 48in
48 in / 3 = 16 in

2006-11-14 21:36:08 · answer #8 · answered by ms u 1 · 0 0

16 in. (12 x 4 = 48, 48/3 = 16)

2006-11-14 21:07:14 · answer #9 · answered by beatrice_africa 2 · 1 0

16 in.

12x4=48
48/3 sides of triangle=16

2006-11-14 21:05:16 · answer #10 · answered by Gerry Z 3 · 1 0

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