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5 January, 03:12

The smallest right-angled triangle where the lengths of all the sides are integers, has sides of length 3, 4 & 5 units. Identify by calculation, 2 other right-angle triangles with sides that have a sum closest to 100 units.

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  1. 5 January, 06:14
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    6, 8 and 10

    12, 16 and 20

    Step-by-step explanation:

    Area of smallest triangle

    = ½ (3) (4) = 6

    100/6 = 16.666

    16 as the multiple

    Sum of Sides: ratio of 4

    Two triangles with sides:

    6, 8 and 10 area = 24

    9, 12 and 15 area = 54

    12, 16, 20 area = 96

    Closest sum: 24+96 = 120
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