# Triangle ABC

In a triangle ABC side b measure 10 cm less than the side a and side b is half of the side c. Calculate the length of sides if the circumference of the triangle is 42 cm.

Result

a =  18
b =  8
c =  16

#### Solution:

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

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

a = 18
b = 8
c = 16

Calculated by our linear equations calculator.

Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...): Be the first to comment! #### To solve this example are needed these knowledge from mathematics:

Do you have a system of equations and looking for calculator system of linear equations? See also our trigonometric triangle calculator.

## Next similar examples:

1. Triangle Determine if it is possible to construct a triangle with sides 28 31 34 by calculation.
2. Triangle Prove whether you can construct a triangle ABC, if a=9 cm, b=10 cm, c=4 cm.
3. Rectangle The length of one side of the rectangle is three times the length of the second side. What are the dimensions of the rectangle if its circumference 96 cm?
4. Rectangle Calculate perimeter of the rectangle with sides a=2.4 m and b=1.9 m.
5. Benches The park has 64 benches. Occupied are by 18 more than empty. How many benches are occupied and empty ?
6. One frame 5 picture frames cost € 12 more than three frames. How much cost one frame?
7. Garden plot Calculate how many meters of fence need to fence the square garden with length and width of 22 meters. Added together and write as decimal number: LXVII + MLXIV
9. Eq1 Solve equation: 4(a-3)=3(2a-5)
10. Math classification In 3A class are 27 students. One-third got a B in math and the rest got A. How many students received a B in math?
11. Expressions Find out value of expressions if a = -1, b =2: x=b - 2a - ab y=a3 - b2 - 2ab z=a2 b3 - a3 b2 w=a + b + a3 - b2
12. Valid number Round the 453874528 on 2 significant numbers.
13. The result How many times I decrease the number 1632 to get the result 24?
14. Line How many parts of line divide 5 (different) points that lie on it?
15. If-then equation If 5x - 17 = -x + 7, then x =
16. Ten pupils 10 pupils went to the store. 6 pupils bought lollipops and 9 pupils bought chewing gum. How many pupils have bought both lollipops and chewing gums (if everyone bought something)?
17. Six te 2 If 3t-7=5t, then 6t=