Math  /  Geometry

QuestionTriangle DEFD E F is formed by connecting the midpoints of the side of triangle ABCA B C. The lengths of the sides of triangle ABCA B C are shown. Find the perimeter of triangle DEFD E F. Figures not necessarily drawn to scale.

Studdy Solution
Simplify the expression for the perimeter:
Perimeter of DEF=a+b+c2 \text{Perimeter of } D E F = \frac{a + b + c}{2}
This shows that the perimeter of triangle DEF D E F is half the perimeter of triangle ABC A B C .
The perimeter of triangle DEF D E F is half the perimeter of triangle ABC A B C . If the perimeter of triangle ABC A B C is known, divide it by 2 to find the perimeter of triangle DEF D E F .

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