SOLUTION: in the figure triangle abc is an equilateral triangle such that ab=(y+8)cm ac=(x+10)cm and bc= 2(x+y)cm. solve x and y

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Question 930767: in the figure triangle abc is an equilateral triangle such that ab=(y+8)cm ac=(x+10)cm and bc= 2(x+y)cm.
solve x and y
Found 3 solutions by Shin123, greenestamps, MathTherapy:
Answer by Shin123(626)   (Show Source): You can put this solution on YOUR website!
All 3 sides are the same as mentioned.






Please repost.
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The three side lengths are the same: y+8, x+10, and 2(x+y).

Use the first two expressions to get one variable in terms of the other; then substitute in the third expression and compare it to the second:








x=2; y = x+2 = 4

The three side lengths are
y+8 = 4+8 = 12
x+10 = 2+10 = 12
2(x+y) = 2(6) = 12
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
in the figure triangle abc is an equilateral triangle such that ab=(y+8)cm ac=(x+10)cm and bc= 2(x+y)cm.
solve x and y 
Side AB = AC, and so: y + 8 = x + 10____x - y = - 2 ------ eq (i)

Side BC = AC, and so: 2(x + y) = x + 10___2x + 2y = x + 10____2x - x + 2y = 10____x + 2y = 10 ------- eq (ii)

3y = 12 ------ Subtracting eq (i) from eq (ii)



x - 4 = - 2 ------- Substituting 4 for y in eq (i) 

x = - 2 + 4



OR

You could choose any other combinations of 2 sides, and solve for the 2 variables. 

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