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 how do I determine the

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 how do I determine the      Log On


   



Question 1023311: 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
how do I determine the length of DE

Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
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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
how do I determine the length of DE
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The length of he straight segment connecting midpoints of the two sides of a triangle is half of the length
of the third side of the triangle.

See the lesson The line segment joining the midpoints of two sides of a triangle in this site.

Thus |DE| = 1%2F2.|AB| = 10 cm.