Triangle + reason - practice problems
Number of problems found: 117
- Hypotenuse 82331
Given a right triangle KLM with a right angle at M. What is the magnitude of the hypotenuse m if the magnitude of the normal to the hypotenuse m is 4? - Is right triangle
Decide if the triangle XYZ is rectangular: x = 4 m, y = 6 m, z = 4 m - Triangle 8320
Is there a triangle with heights of 4, 7, and 10 meters? - Triangle 3187
In a general triangle, the aspect ratio a: b = 2:3. What is the ratio of heights va: vb?
- Probability
How probable is a randomly selected three-digit number divisible by five or seven? - It is rectangular?
The size of two of the angles in a triangle is α=110°, β=40°. Is it a right triangle? - Magnitudes 19623
Calculate the magnitudes of the interior angles of a triangle if you know that these are in a 2: 3: 5 ratio. - Integer sides
A right triangle with an integer length of two sides has one leg √11 long. How much is its longest side? - Triangle ABC
Triangle ABC has side lengths m-1, m-2, and m-3. What has to be m to be a triangle a) rectangular b) acute-angled?
- Calculate 82878
Calculate in degrees the size of the acute angle made by the hands of the clock at half past six. - Thomas
Thomas lives 400 meters away from Samko, Robo from Thomas also 400 m, and Samko from Robo 500. Anton lives 300 meters away from Robo, further than Samko. How far away lives Anton from Rob? - Tree shadow 3
A 2-meter rod casts a shadow 3.2 m long. How high is a tree with a shadow of 14.4 m? - Probability 4824
We have five lines with lengths of 3cm, 5cm, 7cm, 9cm, and 11cm. What is the probability that we will be able to construct a triangle with randomly selected three? - Land boundary
The land is a right triangle. Its hypotenuse is 30 meters long, and its circumference is 72 meters. What are the sizes of the remaining sides of the land boundary?
- Right
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: 3a +4b = 4.9c - 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? - Right triangle eq2
Find the lengths of the sides and the angles in the right triangle. Given area S = 210 and perimeter o = 70. - Depth angles
At the top of the mountain stands a castle with a tower 30 meters high. We see the crossroad at a depth angle of 32°50' and the heel at 30°10' from the top of the tower. How high is the top of the mountain above the crossroad?
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