Question

Can each set of line segments form a triangle? Why or why not AB= 1/2 mile DE=0.205 kilometer BC=1/3 mile EF=0.01 kilometer AC=1/4 mile DF=0.02 kilometer

Answer 1

Answer: Yes and No

When the longest side is not longer than the sum of the two shorter

Explanation:

Let first convert mile to kilometre

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 not 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

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.