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The length of the sides DEF are 12,16,and 20. Find the perimeter of the triangle formed by connection the midpoints of the sides of DEF

Sagot :

Answer:

  • 24 units

Step-by-step explanation:

According to the midsegment theorem, the length of each side of the formed triangle is the half the parallel side of DEF.

So the perimeter is:

  • P = 1/2(12 + 16 + 20) = 24

[tex]P= \dfrac{1}{2} (d + e + f)[/tex]

[tex]P= \dfrac{1}{2} (12 + 16 + 20)[/tex]

[tex]P= \dfrac{1}{2} (48)[/tex]

[tex]P=\cancel{ \dfrac{1}{2} (48)}[/tex]

[tex]\sf\red{P= 24}[/tex]