勾股定理是平面几何定理中的一颗璀璨明珠.古今往来,下至平民,上至总统都热衷于探求它的证明方法.据资料记载,勾股定理的证明方法现已有800余种.以下是勾股定理的又一种证明方法,证明中利用了三角形内心的性质与三角形面积的不同表示方法.三角形三条内角平分线的交点叫三角形的内心.内心到三角形三边的距离相等. The Pythagorean Theorem is a shining pearl in the plane geometry theorem, and ancient and modern, down to civilians, up to the president are keen to explore its proof method.According to the records, there are now more than 800 kinds of proof methods of the Pythagorean Theorem. The following is another proof of the Pythagorean theorem, which uses different representations of the nature of the triangle and the area of ​​the triangle: The intersection of the three bisector of the triangle is called the center of the triangle, and the distance from the center of the triangle to the triangle is equal.