Question

The perimeter of the triangle shown on the right is 426 feet.

Find the length of each side.
2x
9x-6
X

Answer 1

Explanation:

First we need to find the value of x:

Perimeter = 2x + x + 9x - 6

426 = 12x - 6 // Group like terms

432 = 12x

`(432)/(12)` = x // Single out x

36 = x

Now we can substitue x into each side:

Side one (2x):

2 * x

2 * 36

= 72 feet

Side two (x):

x

= 36 feet

Side three (9x - 6):

9 * x - 6

9 * 36 - 6

324 - 6

= 318 feet

Answer 2

Explanation:

P = 426

426 = a+b+c

426 = 2x + x + 9x - 6

426 = 12x - 6

426 + 6 = 12x

12x = 432

x = 432/12 = 36

a = 2 x 36 = 72

b = 36

c = 318