Can each set of line segments form a triangle? Why or why not?
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AB = 1/2 mile
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BC = 1/3 mile
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AC = 1/4 mile
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.
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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