maths

posted by uzoma

The sides of an equilateral triangle are 3a+2, 3b-a and b+3 respectively. what is the value of a and b and find the perimeter of the triangle

  1. Arora

    All sides of an equilateral triangle are equal.

    So,
    3a + 2 = 3b - a
    => 4a - 3b = -2 ....1

    3b - a = b + 3
    => 2b - 3 = a ....2

    Put (2b-3=a) in ....1

    => 4(2b - 3) - 3b = -2
    => 8b - 12 - 3b = -2
    => 5b = 10
    => b = 2

    Now you can obtain 'a' too
    Add all sides to find the perimeter.

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