In equilateral triangleABC,AB= 14. Find the perimeter of the triangle that joins the midpoints of the sides of triangleABC.

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- Oct 3rd 2008, 03:58 AMmagentaritaEquilateral Triangle
In equilateral triangle

*ABC*,*AB*= 14. Find the perimeter of the triangle that joins the midpoints of the sides of triangle*ABC.* - Oct 3rd 2008, 06:01 AMNacho
If the new triangle maked, is DEF and too is equilateral and your sizes are the 1/2 of the size of the triangle ABC

sorry for my bad english (Crying) - Oct 3rd 2008, 09:03 AMSoroban
Hello, magentarita!

Quote:

In equilateral triangle $\displaystyle ABC$, $\displaystyle AB = 14$.

Find the perimeter of the triangle that joins the midpoints of the sides of $\displaystyle \Delta ABC.$

The line segment joining the midpoints of two side of a triangle

. . is parallel to and one-half the length of the third side.Code:`C`

*

* *

* *

P *--------* Q

* *

* *

A * * * * * * * B

We have . $\displaystyle PQ \parallel AB,\quad \overline{PQ} \,=\,\frac{1}{2}(\overline{AB}) $

. . and this is true for**any**triangle.

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