Triangle + triangle inequality - practice problems
Number of problems found: 30
- RST triangle
Find out if it is possible to construct the given triangle and according to which theorem: RS = 2.5 cm ST = 7 cm TR = 4.5 cm - 3-bracket 2
Maybe the smallest angle in the triangle is greater than 70°? - Possible lengths
Find the possible lengths for the third side of a triangle with sides 20 and 18. - Triangle
By calculation, determine if it is possible to construct a triangle with sides 10 21 19.
- Triangles 8306
Find out how many triangles you create from lines 7 dm, 5 dm, 10 dm, 12 dm, and 15 dm long. - Triangle
Prove whether you can construct a triangle ABC if a=8 cm, b=6 cm, c=10 cm. - The perimeter
The triangle has one side 5 cm long and another 11 cm long. What can be the smallest, and what is the largest perimeter? - Inequality 4434
The heel of height from the vertex C in the triangle ABC divides the side AB in the ratio 1:2. Prove that in the usual notation of the lengths of the sides of the triangle ABC, the inequality 3 | a-b | holds - Perimeter of a triangle
If the perimeter of a triangle is 6 2/3 cm and the lengths of two sides are 2 1/2 cm and 3 1/3 cm, find the length of the third side.
- Greatest 82502
In triangle ABC, side a = 30 cm b = 7 cm. The length of the third side in cm is a natural number. What is the least and what is the greatest length that side c can have? - Following 64814
The two sides of the triangle have side lengths a = 6cm and b = 13cm. Then the following applies to the length of the third party c: (A) 7 - Sin cos tan
In triangle ABC, right-angled at B. Sides/AB/=7cm, /BC/=5cm, /AC/=8.6cm. Find two decimal places. A. Sine C B. Cosine C C. Tangent C. - Perimeter 16663
The sizes of the sides of a triangle are three natural numbers. The two shorter sides have lengths a = 7 cm and b = 9 cm. What size will the third side be if we want the triangle to have the largest possible perimeter? - Exist triangle
Which of the following set of numbers could not represent the three sides of a triangle A. 13,22,34 B. 8,20,30 C. 10,14,23 D. 15,25,37
- 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? - Probability 3322
We have the numbers 4, 6, 8, 10, and 12. What is the probability that with a randomly selected triangle, these will be the lengths of the sides of a scalene triangle? - Probability 7991
We have the numbers 4, 6, 9, 13, and 15. What is the probability that these will be the lengths of the sides of the triangle? (Consider only scalene triangles.) - Triangle 71404
Which three lines of a given length can be three sides of a triangle? A / 42mm; 22mm; 12mm; B / 5cm, 50mm, 6cm; C / 10m, 5m, 50dm; D / 2.1cm, 4.2cm, 1.9cm - Constructed 67424
There are six lines 3 cm, 4 cm, 5 cm, 7 cm, 8 cm, and 9 cm long, two of each length. How many isosceles triangles can be constructed from them? List all options.
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