Triangle + triangle inequality - practice problems
Number of problems found: 34
- Triangle - same sides
Can the sides of a triangle have lengths of 11, 11, and 14? If so, what kind of triangle is it?
- 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
- Triangles - segments
How many triangles can be formed with segments measuring one and 2/3 mm one 3/4 mm and 2 1/2 mm
- 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.
- QuizQ
An isosceles triangle has two sides of length 38 m and 15 m. How long is a third side?
- 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
- The triangle - sides
The two sides of the triangle have side lengths a = 6cm and b = 13cm. Then the following applies to the length of the third side c: (A) 7
- 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?
- Triangles - combinations
How many different triangles with sides in whole centimeters have a perimeter of 12 cm?
- 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 the triangle inequality).
- 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
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