Answer:
Perimeter of triangle is 38 inches
Step-by-step explanation:
Figure show triangle with sides of (21-x), (2x-3)and(x+5)
Here, The pool balls are arranged in triangle in symmetry.
Hence, Triangle is equilateral triangle.
For equilateral triangle,
Sides are equal in length (21-x) = (2x-3) = (x+5)
Take (2x-3) = (x+5)
2x-3=x+5
2x-x=5+3
x=8.
Now,Perimeter of triangle is summation of all of the sides.
= (21-x) + (2x-3) + (x+5)
= (21-8) + (2(8)-3) + (8+5)
= 13 + (16-3) +12
= 13+13+12
= 26+12
= 38 inches
