Question

The triangle below has a perimeter of 20.solve for x

Answer 1

5

Explanation:

Sides of the triangle= x, x+2, 8

Perimeter of the triangle= 20

x+x+2+8= 20

2x+10= 20

2x= 20-10

2x= 10

x= 10/2

x= 5

∴ the value of x is 5

Answer 2

x = 5

Explanation:

1) Form an equation with the given information

We know that perimeter is the sum of all the sides so the sum of all the sides in the triangle can be shown as...

• 
  `x` + 2 +
  `x` + 8 = 20

2) Simplify

We can simplify this equation by collecting like terms. This means to collect all values with the same variable together...

• 2
  `x` + 10 = 20

3) Solve for x

To solve for x we have to isolate the x and to do this we must get rid of the 10 and 2 on the side of the x.

To get rid of the 10 we have to subtract 20 from both sides

• 2
  `x` + 10 - 10 = 2x
• 20 - 10 = 10

To get rid of the 2 we have to divide both sides by 2

• 2
  `x` ÷ 2 =
  `x`
• 10 ÷ 2 = 5
• 
  `x` = 5

Hope this helps, have a lovely day! :)