若h1、h2、h3是△ABC三边a、b、c上的高,且h1²×h3²-h1²×h2²=h2²×h3²,则△ABC是_____.(其中²是平方)请用初二的方法解答此题,证明为什么是直角三角形,证明步骤简洁易懂
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![若h1、h2、h3是△ABC三边a、b、c上的高,且h1²×h3²-h1²×h2²=h2²×h3²,则△ABC是_____.(其中²是平方)请用初二的方法解答此题,证明为什么是直角三角形,证明步骤简洁易懂](/uploads/image/z/3880091-11-1.jpg?t=%E8%8B%A5h1%E3%80%81h2%E3%80%81h3%E6%98%AF%E2%96%B3ABC%E4%B8%89%E8%BE%B9a%E3%80%81b%E3%80%81c%E4%B8%8A%E7%9A%84%E9%AB%98%2C%E4%B8%94h1%26%23178%3B%C3%97h3%26%23178%3B%EF%BC%8Dh1%26%23178%3B%C3%97h2%26%23178%3B%EF%BC%9Dh2%26%23178%3B%C3%97h3%26%23178%3B%2C%E5%88%99%E2%96%B3ABC%E6%98%AF_____.%EF%BC%88%E5%85%B6%E4%B8%AD%26%23178%3B%E6%98%AF%E5%B9%B3%E6%96%B9%EF%BC%89%E8%AF%B7%E7%94%A8%E5%88%9D%E4%BA%8C%E7%9A%84%E6%96%B9%E6%B3%95%E8%A7%A3%E7%AD%94%E6%AD%A4%E9%A2%98%2C%E8%AF%81%E6%98%8E%E4%B8%BA%E4%BB%80%E4%B9%88%E6%98%AF%E7%9B%B4%E8%A7%92%E4%B8%89%E8%A7%92%E5%BD%A2%2C%E8%AF%81%E6%98%8E%E6%AD%A5%E9%AA%A4%E7%AE%80%E6%B4%81%E6%98%93%E6%87%82)
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