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Home > CCG > Chapter 12 > Lesson 12.1.4 > Problem 12-53

12-53.

A triangle A, B, C with a midpoint D on A, B, and a midpoint E on A, C creating triangle A, d, E. F is the midpoint of A, D, and G is the midpoint on A, E creating triangle A, G, F.In the triangle at right, is a midsegment of and is a midsegment of.

  1. If cm, find and .

    Since is the midpoint of line .

    cm
    cm

  2. If the area of is , what is the area of ?

    The area of a triangle is , if the base is cm, and the area is cm, what is the height?

    Find the areas of and . Find the difference between the two triangles to find the area of .