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15 April, 13:11

The perimeter of a triangle with two equal sides is 46 cm. If its base were lengthened by 4 cm and each leg were shortened by 7 cm, all three sides would be equal. Find the length of the base of the original triangle.

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  1. 15 April, 15:46
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    Answer: 4cm

    Step-by-step explanation:

    a+b+c=46 (b=c two equal sides)

    a+2b=46

    a+4=b-7

    b=a+11

    a+2a+22=46

    3a=24

    a=8 (length of base after lengthened)

    b=19

    b=19

    8-4=4 (length of base of original triangle)
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