Math Problem Statement

Cho tam giác ABC có AC > AB, M là trung điểm của BC. Trên tia đối của tia MA lấy điểm D sao cho MD = MA. So sánh AB và CD.

Solution

The problem involves a triangle ABC with the condition that AC>ABAC > AB, and point MM is the midpoint of segment BCBC. There is also a point DD on the extension of line segment MAMA such that MD=MAMD = MA.

You're asked to compare the lengths of segments ABAB and CDCD.

Let's break it down:

  1. Given:

    • Triangle ABCABC, with AC>ABAC > AB.
    • Point MM is the midpoint of BCBC.
    • Point DD lies on the extension of line MAMA, such that MD=MAMD = MA.
  2. **

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangles
Midpoints
Line Extensions

Formulas

Midpoint Theorem
Equality of segments

Theorems

Midpoint Theorem
Isosceles Triangle Theorem

Suitable Grade Level

Grades 9-11