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【求助】英文版本比赛题目,看不懂,最好是有步骤的,别太抽象的写~~谢谢~~

作者 erictan2046
来源: 小木虫 150 3 举报帖子
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          问题:

                1。 In a right triangle, the angle bisector of an acute angle divides the opposite side into segments of length 1 and 2. What is the length of the bisector??? 返回小木虫查看更多

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  • alober

    because the hypotenuse is larger than the right angle side, by the bisector theorem, let the hypotenuse is 2x, then the right side is x, by pythagorean, [latex]x^2+3^2=(2x)^2[/latex], so bisector is [latex]\sqrt{x^2+1^2}=2[/latex]

  • erictan2046

    引用回帖:
    2楼: Originally posted by alober at 2017-02-19 17:01:39
    because the hypotenuse is larger than the right angle side, by the bisector theorem, let the hypotenuse is 2x, then the right side is x, by pythagorean, x^2+3^2=(2x)^2, so bisector is \sqrt{x^2+1^2}=2...

  • 人走茶不凉

    引用回帖:
    2楼: Originally posted by alober at 2017-02-19 17:01:39
    because the hypotenuse is larger than the right angle side, by the bisector theorem, let the hypotenuse is 2x, then the right side is x, by pythagorean, x^2+3^2=(2x)^2, so bisector is \sqrt{x^2+1^2}=2...

    so  x = 1, bisector = 2的平方根

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