Question

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

Answer 1

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.