Triangle inequality - math problems

In any triangle, the sum of the lengths of any two sides is greater than the length of the remaining third one. The triangle inequality is three inequalities that are true simultaneously. The inequalities result directly from the triangle's construction. If one side were longer than two in total, the vertex against the longest side could not be constructed (or drawn), and the triangle as a shape in the plane would not exist.

Number of problems found: 11

  • Perimeter of a triangle
    triangles If the perimeter of a triangle is 6 2/3 cm and the lengths of two of its sides are 2 1/2 cm and 3 1/3 cm, find the length if the third side
  • Draw a triangle
    triangle2 We have line segments with lengths of 3cm, 5cm, 6cm, 7cm and 9cm. What is the probability in % that if I randomly select three of them I will be able to draw a triangle?
  • Sin cos tan
    rt In triangle ABC, right-angled at B. Sides/AB/=7cm, /BC/=5cm, /AC/=8.6cm. Find to two decimal places. A. Sine C B. Cosine C C. Tangent C.
  • The perimeter
    triangle The triangle has one side 5 cm long and the another 11 cm long. What can be the smallest and what is the largest perimeter?
  • Possible lengths
    triangles Find the most possible lengths for the third side of a triangle with sides 20 and 18.
  • Triangles
    triangle_234 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?
  • Triangles
    triangles Hanka cut the 20 cm long straws into three pieces each piece had a length in cm. Then, with these three pieces, she tried to make a triangle. a) What circuit has each of the triangles? b) How long can the longest side measure? c) How many different triang
  • Triangles
    496_triangle Ivo wants to draw all the triangles whose two sides of which have a length of 4 cm and 9 cm, and the length of the third side is expressed in whole centimeters. How many triangles does he have?
  • Right triangles
    PT How many right triangles we can construct from line segments 3,4,5,6,8,10,12,13,15,17 cm long? (Do not forget to the triangle inequality).
  • Triangle
    triangles Prove whether you can construct a triangle ABC, if a=9 cm, b=6 cm, c=10 cm.
  • 3-bracket 2
    1triangle May be the smallest angle in the triangle greater than 70°?

We apologize, but in this category are not a lot of examples.
Do you have an exciting math question or word problem that you can't solve? Ask a question or post a math problem, and we can try to solve it.



We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.



See also more information on Wikipedia.