A triangle with an perimeter of 23x-7 has two sides with lengths of 5x+7 and 8x-9. What is the length of the third side?

The third side is 10x-5

Step-by-step explanation:

The perimeter of a triangle is given by

P = s1+s2+s3   where s is the side of the triangle

23x-7 = 5x+7  + 8x-9  + s3

Combine like terms

23x-7 = 13x -2  +s3

Subtract 13x from each side

23x -13x-7 = 13x-13x -2  +s3

10x -7 = -2 +s3

Add 2 to each side

10x-7+2 = -2+2 +s3

10x -5 = s3

The third side is 10x-5

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11