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18 December, 19:16

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

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  1. 18 December, 20:09
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    Answer: Yes and No

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

    Step-by-step 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.
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