# Math Help - Equilateral Triangle

1. ## Equilateral Triangle

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

2. 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

3. Hello, magentarita!

In equilateral triangle $ABC$, $AB = 14$.
Find the perimeter of the triangle that joins the midpoints of the sides of $\Delta ABC.$
There is a theorem that says:

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

. . and this is true for any triangle.

4. Originally Posted by magentarita
In equilateral triangle ABC, AB = 14. Find the perimeter of the triangle that joins the midpoints of the sides of triangle ABC.
See diagram. Add the sides of the little triangle inside the big triangle

5. ## wonderful....

Originally Posted by Soroban
Hello, magentarita!

There is a theorem that says:

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

. . and this is true for any triangle.

6. ## pictures....

Originally Posted by masters
See diagram. Add the sides of the little triangle inside the big triangle
How do you make such drawings?

7. Originally Posted by magentarita
How do you make such drawings?
My drawings aren't sophisticated like some others that you might have seen on this forum. I simply use Microsoft Paint. Simple, I know. But it seems to serve the purpose...so long as the drawings don't get too complicated.

8. ## Tell me...

Originally Posted by masters
My drawings aren't sophisticated like some others that you might have seen on this forum. I simply use Microsoft Paint. Simple, I know. But it seems to serve the purpose...so long as the drawings don't get too complicated.
What are the steps for using microsoft paint?

9. Originally Posted by magentarita
What are the steps for using microsoft paint?
It's found under "Program" "Accessories". There's a help tab at the top and a toolbar on the left.