勾股定理是直角三角形的一个重要性质, 与其逆定理相结合揭示了直角三角形三边之间数与形的对应关系,体现了数学的数形结合思想．下面就其应用举例如下．一、利用勾股定理进行计算例1 已知:Rt△ABC 中,∠C=90°,AD、BE分别为BC、AC边的中线,AD＝ 2 10~(1/2),BE=5．求AB的长．分析:因为∠C=90°,AB是Rt△ABC的斜 The Pythagorean theorem is an important property of the right-angled triangle. Combined with its inverse theorem, it reveals the correspondence between the number and shape of the three sides of a right-angled triangle, and it embodies the mathematics-shaped combination idea. Below is an example of its application. First, using the Pythagorean theorem to calculate Example 1 Known: Rt △ ABC, ∠C = 90 °, AD, BE, respectively, BC, AC side of the middle, AD = 2 10 ~ (1/2), BE = 5 . Ask for the length of AB. Analysis: Because ∠C = 90°, AB is the slope of Rt △ ABC