Ratio of sides

The triangle has a circumference of 21 cm, and the length of its sides is in a ratio of 6:5:3. Find the length of the longest side of the triangle in cm.

Correct answer:

a =  9 cm
b =  7.5 cm
c =  4.5 cm

Step-by-step explanation:

o=21 cm  o = a+b+c = 21 a = 6x b = 5x c = 3x  6x+5x+3x=o 6x+5x+3x=21  6⋅ x+5⋅ x+3⋅ x=21  14x=21  x=1421​=1.5  x=23​=1.5  a=6⋅ x=6⋅ 1.5=9 cm

Try calculation via our triangle calculator.

b=5⋅ x=5⋅ 1.5=7.5 cm
c=3⋅ x=3⋅ 1.5=4.5 cm

Try another example


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







Tips for related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Check out our ratio calculator.
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
Do you want to convert time units like minutes to seconds?
See also our trigonometric triangle calculator.

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

Units of physical quantities:

Grade of the word problem:


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

Related math problems and questions: