SOLUTION: ABC is an equilateral triangle with AB=20cm. A second equilateral triangle DEF is constructed by joining the midpoints of the sides of the first triangle ABC. Similarly a third tri

Algebra ->  Triangles -> SOLUTION: ABC is an equilateral triangle with AB=20cm. A second equilateral triangle DEF is constructed by joining the midpoints of the sides of the first triangle ABC. Similarly a third tri      Log On


   



Question 948981: ABC is an equilateral triangle with AB=20cm. A second equilateral triangle DEF is constructed by joining the midpoints of the sides of the first triangle ABC. Similarly a third triangle GHI is constructed by joining the midpoints of triangle DEF, and then this process is repeated. Determine the length of DE
Answer by macston(5194) About Me  (Show Source):
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The length of a segment connecting the midpoints of two sides of a triangle is half the length of the third side Since all sides of an equilateral triangle measure the same,all sides are 20 cm and 1/2(20 cm)=10 cm. ANSWER: The length of DE is 10 cm.