Question

Please help me. There is a Picture attached

Answer 1

Perimeter of triangle is 38 inches

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