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The three sides of an equilateral triangle measure (x + 12), (2x - 5) and (3x - 22) inches. The sides of the triangle measure


17 inches

29 inches

32.5 inches

44.5 inches

Verified Answer :

texaschic101

All 3 sides are equal in an equilateral triangle...

2x - 5 = 3x - 22
-5 + 22 = 3x - 2x
17 = x

2x - 5 = 2(17) - 5 = 34 - 5 = 29
3x - 22 = 3(17) - 22 = 51 - 22 = 29
x + 12 = 17 + 12 = 29

as u can see, all sides measure 29 inches

InesWalston

Answer:

29 inches.

Step-by-step explanation:

Given that, the three sides of an equilateral triangle are \((x + 12), (2x - 5),(3x - 22)\)

As we know that, the sides of an equilateral triangle are of same length.

So,

\(\Rightarrow x + 12=2x - 5\)

\(\Rightarrow 2x - x=12+5\)

\(\Rightarrow x=17\)

Putting the value of x in each expressions,

\(x + 12=17+12=29\)

\(2x -5=34-5=29\)

\(3x -22=51-22=29\)

So the side length is 29 inches.

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