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三個圓形在三角形 XYZ 內
發問:
圖片參考：http://hk.geocities.com/unhappy_ooo/to_everyone/triangle_with_3balls.jpgIn the above grahic, the triangle XYZ is equilateral.The radii of each of the circles are 1.What is the perimeter of the triangle?圖片參考：http://tw.yimg.com/i/tw/ugc/rte/smiley_6.gif*Note:equilateral (等邊) radii (半徑)... 顯示更多 圖片參考：http://hk.geocities.com/unhappy_ooo/to_everyone/triangle_with_3balls.jpg In the above grahic, the triangle XYZ is equilateral. The radii of each of the circles are 1. What is the perimeter of the triangle? 圖片參考：http://tw.yimg.com/i/tw/ugc/rte/smiley_6.gif *Note: equilateral (等邊) radii (半徑) circles (圓形) perimeter (周界) triangle (三角形)
最佳解答:
其他解答:
The three sides of triangle are the same YZ = 2r + 2(r / tan 30 ) = 2 + 2 tan 30 =5.464 Perimeter of triangle XYZ = XY+YZ+ZX = 3 YZ = 3(5.464) =16.392 units
三個圓形在三角形 XYZ 內
發問:
圖片參考：http://hk.geocities.com/unhappy_ooo/to_everyone/triangle_with_3balls.jpgIn the above grahic, the triangle XYZ is equilateral.The radii of each of the circles are 1.What is the perimeter of the triangle?圖片參考：http://tw.yimg.com/i/tw/ugc/rte/smiley_6.gif*Note:equilateral (等邊) radii (半徑)... 顯示更多 圖片參考：http://hk.geocities.com/unhappy_ooo/to_everyone/triangle_with_3balls.jpg In the above grahic, the triangle XYZ is equilateral. The radii of each of the circles are 1. What is the perimeter of the triangle? 圖片參考：http://tw.yimg.com/i/tw/ugc/rte/smiley_6.gif *Note: equilateral (等邊) radii (半徑) circles (圓形) perimeter (周界) triangle (三角形)
最佳解答:
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With reference to the diagram below: 圖片參考：http://i117.photobucket.com/albums/o61/billy_hywung/Mar08/Crazygeom1.jpg From the diagram, y = twice the radius of a circle = 2 and x = 1/tan 30 = √3 Totally, for the perimeter, it is equal to 6x + 3y = 6√3 + 6 = 6(√3 + 1)其他解答:
The three sides of triangle are the same YZ = 2r + 2(r / tan 30 ) = 2 + 2 tan 30 =5.464 Perimeter of triangle XYZ = XY+YZ+ZX = 3 YZ = 3(5.464) =16.392 units
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