Triangle inequality - practice problems - last page

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: 24

Right triangles
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
Prove whether you can construct a triangle ABC if a=9 cm, b=6 cm, c=10 cm.
3-bracket 2
May be the smallest angle in the triangle greater than 70°?
Triangles
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?

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