# Circumference 20323

A triangle with sides a, b, and c whose circumference is 26 cm is true: ratio a:b is 4:3, and ratio b:c is 1:2. Find the lengths of the sides of this triangle.

a =  8
b =  6
c =  12

## Step-by-step explanation:

a+b+c = 26
a=4/3·b
b=1/2·c

a+b+c = 26
3a-4b = 0
2b-c = 0

Pivot: Row 1 ↔ Row 2
3a-4b = 0
a+b+c = 26
2b-c = 0

Row 2 - 1/3 · Row 1 → Row 2
3a-4b = 0
2.333b+c = 26
2b-c = 0

Row 3 - 2/2.33333333 · Row 2 → Row 3
3a-4b = 0
2.333b+c = 26
-1.857c = -22.286

c = -22.28571429/-1.85714286 = 12
b = 26-c/2.33333333 = 26-12/2.33333333 = 6
a = 0+4b/3 = 0+4 · 6/3 = 8

a = 8
b = 6
c = 12

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?
See also our trigonometric triangle calculator.

### Grade of the word problem:

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