Triangles

Five sticks with a length of 2,3,4,5,6 cm. How many ways can you choose three sticks to form three sides of a triangle?

Result

n =  7

Solution:

a+b>c n1=5 4 33 2=10  5>=2+3 6>=2+3 6>=2+4   n=n13=103=7a+b>c \ \\ n_{1}=\dfrac{ 5 \cdot \ 4 \cdot \ 3 }{ 3 \cdot \ 2 }=10 \ \\ \ \\ 5>=2+3 \ \\ 6>=2+3 \ \\ 6>=2+4 \ \\ \ \\ \ \\ n=n_{1}-3=10-3=7



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

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




Tips to related online calculators
Would you like to compute count of combinations?
See also our permutations calculator.
See also our trigonometric triangle calculator.

Next similar math problems:

  1. Center traverse
    trianles It is true that the middle traverse bisects the triangle?
  2. Sines
    sines In ▵ ABC, if sin(α)=0.5 and sin(β)=0.6 calculate sin(γ)
  3. Hockey match
    football_2 The hockey match ended with result 3:1. How many different storylines may have the match?
  4. Chords
    chords How many 4-tones chords (chord = at the same time sounding different tones) is possible to play within 7 tones?
  5. Fish tank
    zebra_fish A fish tank at a pet store has 8 zebra fish. In how many different ways can George choose 2 zebra fish to buy?
  6. Examination
    examination The class is 21 students. How many ways can choose two to examination?
  7. Teams
    football_team How many ways can divide 16 players into two teams of 8 member?
  8. Confectionery
    cukrovinky The village markets have 5 kinds of sweets, one weighs 31 grams. How many different ways a customer can buy 1.519 kg sweets.
  9. The confectionery
    ice_cream The confectionery sold 5 kinds of ice cream. In how many ways can I buy 3 kinds if order of ice creams does not matter?
  10. Volleyball
    volejbal 8 girls wants to play volleyball against boys. On the field at one time can be six players per team. How many initial teams of this girls may trainer to choose?
  11. Blocks
    cubes3_1 There are 9 interactive basic building blocks of an organization. How many two-blocks combinations are there?
  12. Trinity
    trojka How many different triads can be selected from the group 43 students?
  13. Subsets
    venn5 How many 19 element's subsets can be made from the 26 element set?
  14. Theorem prove
    thales_1 We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  15. Calculation of CN
    color_combinations Calculate: ?
  16. Pairs of socks
    probability Ferdinand has twelve pairs of socks, one sock is leaky. What is the probability of putting on a leaky sock?
  17. The dice
    hracia-kocka What is the probability of events that if we throw a dice is rolled less than 6?