A medial triangle is made from the midlines of the larger triangle, and its
length is half the length of the third side of the triangle.
Reasons:
The medial triangle of triangle ÎABC is triangle ÎDEF
The medial triangle of  ÎDEF is ÎXYZ
The perimeter of ÎXYZ = 5
By the midpoint theorem, we have;
The lengths of the sides of ÎDEF = 0.5 Ă The lengths of the sides of ÎABC
â´ The perimeter of ÎDEF = 0.5 Ă The perimeter of ÎABC
Which gives;
The perimeter of ÎABC = 2 Ă The perimeter of ÎDEF
Similarly, between ÎXYZ and ÎDEF, we have;
The perimeter of ÎDEF = 2 Ă The perimeter of ÎXYZ
â´ The perimeter of ÎDEF = 2 Ă 5 = 10
Therefore;
The perimeter of ÎABC = 2 Ă 10 = 20
The perimeter of ÎABC = 20
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