The triangle ABC and AD are the middle line on the side of BC, the angle B is three times of angle a, and the angle CDB is 45 ° to prove that ABC is a right triangle

The triangle ABC and AD are the middle line on the side of BC, the angle B is three times of angle a, and the angle CDB is 45 ° to prove that ABC is a right triangle

The angle B is three times of the angle C. and the angle ADB is 45 degrees. It is proved that ABC is a right triangle, that is, 3C + C = 90 do de, vertical BC cross AC to e, connect be, through a do AF vertical De, Ag vertical BC is easy to get: be = EC EBC = C Abe = 3c-c = 2C = bea AB = aeagd isosceles right triangle AGD afdg normal