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...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




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
    triangle_inequality Determine if it is possible to construct a triangle with sides 28 31 34 by calculation.
  2. Triangle
    triangles Prove whether you can construct a triangle ABC, if a=9 cm, b=10 cm, c=4 cm.
  3. Rectangle
    rectangle_4 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
    rectangle_1 Calculate perimeter of the rectangle with sides a=2.4 m and b=1.9 m.
  5. Benches
    garden_13 The park has 64 benches. Occupied are by 18 more than empty. How many benches are occupied and empty ?
  6. One frame
    room_1 5 picture frames cost € 12 more than three frames. How much cost one frame?
  7. Garden plot
    plot Calculate how many meters of fence need to fence the square garden with length and width of 22 meters.
  8. Addition of Roman numbers
    roman Added together and write as decimal number: LXVII + MLXIV
  9. Eq1
    eq1_3 Solve equation: 4(a-3)=3(2a-5)
  10. Math classification
    prezident 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
    vyraz 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
    numbers Round the 453874528 on 2 significant numbers.
  13. The result
    dice_2 How many times I decrease the number 1632 to get the result 24?
  14. Line
    line_points How many parts of line divide 5 (different) points that lie on it?
  15. If-then equation
    triangles_10 If 5x - 17 = -x + 7, then x =
  16. Ten pupils
    chewy 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
    eq1 If 3t-7=5t, then 6t=