Current location - Training Enrollment Network - Mathematics courses - Mathematics: Prove that the perpendicular lines of the three sides of a triangle intersect at one point. The process of solving problems.
Mathematics: Prove that the perpendicular lines of the three sides of a triangle intersect at one point. The process of solving problems.
Make the perpendicular lines of AC and BC of triangle ABC intersect at point D, and make point H of AB connect HD, AD, BD and CD.
So AD=CD=BD
So the triangle AHD congruent triangles BHD (three sides are equal)
So the angle DHB= the angle DHA=90 degrees, so the three lines intersect.