Circumference 6525

The circumference of the triangle is 104 cm. One side is 6 cm longer and 8 cm shorter than the third. Find the lengths of its sides.

Correct answer:

a =  34
b =  28
c =  42

Step-by-step explanation:


a+b+c = 104
a = 6+b
a = c-8

a+b+c = 104
a-b = 6
a-c = -8

Row 2 - Row 1 → Row 2
a+b+c = 104
-2b-c = -98
a-c = -8

Row 3 - Row 1 → Row 3
a+b+c = 104
-2b-c = -98
-b-2c = -112

Row 3 - -1/-2 · Row 2 → Row 3
a+b+c = 104
-2b-c = -98
-1.5c = -63


c = -63/-1.5 = 42
b = -98+c/-2 = -98+42/-2 = 28
a = 104-b-c = 104-28-42 = 34

a = 34
b = 28
c = 42

Our linear equations calculator calculates it.



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Do you have a system of equations and are looking for calculator system of linear equations?
Do you want to convert length units?
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: