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.
- The perimeter of ΔABC is <u>20</u>
Reasons:
The medial triangle of triangle ΔABC is triangle ΔDEF
The medial triangle of ΔDEF is ΔXYZ
The perimeter of ΔXYZ = 5
By the midpoint theorem, we have;
The lengths of the sides of ΔDEF = 0.5 × The lengths of the sides of ΔABC
∴ The perimeter of ΔDEF = 0.5 × The perimeter of ΔABC
Which gives;
The perimeter of ΔABC = 2 × The perimeter of ΔDEF
Similarly, between ΔXYZ and ΔDEF, we have;
The perimeter of ΔDEF = 2 × The perimeter of ΔXYZ
∴ The perimeter of ΔDEF = 2 × 5 = 10
Therefore;
The perimeter of ΔABC = 2 × 10 = 20
<u>The perimeter of ΔABC = 20</u>
Learn more about the perimeter of a triangle here:
brainly.com/question/1340753
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