Respuesta :

well there is a little thing you need to know about triangles

the sum of the shorter sides needs to greater than the longest side

so is 

AC + BC > AB     ? 

if the answer is yes.. you can form a triangle

Each set of line segments DE, EF, and DF can't form a triangle because the longest side is greater than the sum of the two shorter sides.

What is the triangle?

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

A triangle is also a polygon.

Let's first convert mile to kilometer;

1 mile = 1.609km

AB = 0.5mile = 0.8045 km

BC = 1/3 miles = 0.53633 km

DE = 0.205 kilometer

EF = 0.01 kilometer

AC = 1/4 mile = 0.40225

DF=0.02 kilometer

When the longest side is no longer than the sum of the two shorter sides, then a triangle can be made.

Let's first consider AB, BC, and AC Each set of line segments AB, BC, and AC can form a triangle

Also DE, EF, and DF

Hence, Each set of line segments DE, EF, and DF can't form a triangle because the longest side is greater than the sum of the two shorter sides.

Learn more about the triangles here;

brainly.com/question/15525442

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