SOLUTION: An equilateral triangle has the lengths of its sides given in cm by (3a+2),(2b-a) and b+3.find
{1}the value of a and b
{2}the perimeter of the triangle
Algebra.Com
Question 572999: An equilateral triangle has the lengths of its sides given in cm by (3a+2),(2b-a) and b+3.find
{1}the value of a and b
{2}the perimeter of the triangle
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
An equilateral triangle has the lengths of its sides given in cm by (3a+2),(2b-a) and b+3.find
{1}the value of a and b
{2}the perimeter of the triangle
**
length of sides are equal to each other.
3a+2=2b-a
4a+2=2b
3a+2=b+3
3a-1=b
..
4a+2=2b
6a-2=2b
-2a+4=0
2a=4
a=2
b=3a-1
b=5
(1) a=2cm, and b=5cm
..
sides:
3a+2=6+2=8
2b-a=10-2=8
b+3=5+3=8
..
(2)Perimeter=3*8=24cm
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