Triangle ABC

In an ABC triangle, side b measure 10 cm less than side a, and side b is half of side c. Calculate the length of the sides of the perimeter of the triangle as 42 cm.

Final Answer:

a =  18
b =  8
c =  16

Step-by-step explanation:


a+b+c=42
b = a-10
b = c/2

a+b+c = 42
a-b = 10
2b-c = 0

Row 2 - Row 1 → Row 2
a+b+c = 42
-2b-c = -32
2b-c = 0

Row 3 + Row 2 → Row 3
a+b+c = 42
-2b-c = -32
-2c = -32


c = -32/-2 = 16
b = -32+c/-2 = -32+16/-2 = 8
a = 42-b-c = 42-8-16 = 18

a = 18
b = 8
c = 16

Our linear equations calculator calculates it.



Help us improve the example. If you find a mistake, let us know. 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.

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: