Question

the perimeter of the triangle below is 6a+2b-5 units. write an expression to represent the length in units, of the missing side of the triangle.

please help me and show your work i am dyign

Answer 1

Answer:

3a + 5b - 2

Step-by-step explanation:

The perimeter is the sum of all 3 sides of the triangle.

To find the missing side (x ) sum the 2 known sides and subtract from the perimeter.

x = 6a + 2b - 5 - (2a + 6b - 6 + a - 9b + 3 ) ← simplify parenthesis

  = 6a + 2b - 5 - (3a - 3b - 3 ) ← distribute by - 1

  = 6a + 2b - 5 - 3a + 3b + 3 ← collect like terms

  = 3a + 5b - 2 ← length of missing side