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

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(52909) (Show Source): You can put this solution on YOUR website!
.
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
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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| = .|AB| = 10 cm.

RELATED QUESTIONS
ABC is an equilateral triangle with AB=20cm. A second equilateral triangle DEF is... (answered by macston)

an equilateral triangle is drawn by joining the midpoints of the sides of another... (answered by KMST)

If D , E and F are the midpoints of sides AB , BC , and CA respectively of an equilateral (answered by richard1234)

An equilateral triangle has a perimeter of 12 cm. By joining the midpoints of its sides... (answered by ikleyn)

ABC is a right angle isosceles triangle, angle BCA = 90, with BC as the base and AB as... (answered by ikleyn)

An equilateral triangle has a side of 4 decimeters. A new triangle is formed by joining... (answered by solver91311)

ABC is a right angle isosceles triangle, angle BCA = 90, with BC as the base and AB as... (answered by Boreal,greenestamps)

Equilateral triangle ABC has a side length of 400 cm, and a perimeter equal to 100 times... (answered by checkley77)

Triangle ABC is an equilateral triangle. BC=10 What is the length of Ab? LINK TO... (answered by Theo,MathLover1)