Question

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

Answer 1

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

Answer 2

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.