Posted by Ommprakas panda. on .
If a equileteral triangle has 3 sides in cm x+4, 4x+y, y+2.calculate the length of each sides.

algebra 
Damon,
so they are all equal to each other. Go ahead and do it.
4 x + y = y + 2
so
x = 1/2
x+4 = 4 1/2
y+2 = 4 1/2
y = 2 1/2
so
4x + y = 4 1/2 check all sides are 4 1/2 
algebra 
Anonymous,
An equilateral triangle is a triangle in which all three sides are equal.
In this case :
x + 4 = 4 x + y = y + 2
x  4 x + 4 = y
 3 x + 4 = y
y =  3 x + 4
4 x + y = y + 2
4 x = y  y + 2
4 x = 2 Divide both sides by 4
x = 2 / 4
x = 1 / 2
y =  3 x + 4
y =  3 * 1 / 2 + 4
y =  3 / 2 + 4
y =  3 / 2 + 8 / 2
y = 5 / 2
first side:
x + 4 = 1 / 2 + 4 = 1 / 2 + 8 / 2 = 9 / 2 = 4.5 cm
second side :
4 x + y = 4 * 1 / 2 + 5 / 2 = 4 / 2 + 5 / 2 = 9 / 2 = 4.5 cm
third side :
y + 2 = 5 / 2 + 2 = 5 / 2 + 4 / 2 = 9 / 2 = 4.5 cm