Geometry) DE¯¯, DF¯¯, and EF¯¯ are midsegments of △ABC, with DE=6 cm, DF=3.61 cm, and EF=5 cm....

Question

DE¯¯, DF¯¯, and EF¯¯ are midsegments of △ABC, with DE=6 cm, DF=3.61 cm, and EF=5 cm.

What is the measure of the perimeter of △ABC?

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The perimeter of  is __________ cm.

Enter the value that correctly fills in the blank in the previous sentence, like this: 42

Do not round your answer.

Answer 1

Triangle ADE and triangle ABC are similar and the sides of ABC are twice the sides of ADE.

This will be true of the other triangles in the figure.

For this reason the perimeter of triangle ABC = twice the perimeter of triangle DEF.