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erictan2046

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                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???
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alober

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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, , so bisector is

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2Â¥2017-02-19 17:01:39
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erictan2046

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2Â¥: 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...

3Â¥2017-02-20 17:47:01
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ÒýÓûØÌû:
2Â¥: 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 = 2µÄƽ·½¸ù¡£
4Â¥2017-02-21 10:15:28
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