Reason + triangle - practice problems - page 5 of 6
Number of problems found: 117
- Garage
There are two laths in the garage opposite one another: one 2 meters long and the second 3 meters long. They fall against each other and stay against the opposite walls of the garage. Both laths cross 70 cm above the garage floor. How wide is the garage? - 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? - Thales
Thales is 1 m from the hole. The eyes are 150 cm above the ground and look into the hole with a diameter of 120 cm, as shown. Calculate the depth of the hole. - Four sides of trapezoid
In the trapezoid ABCD is |AB| = 73.6 mm; |BC| = 57 mm; |CD| = 60 mm; |AD| = 58.6 mm. Calculate the size of its interior angles.
- Numerically 4839
Calculate the diagonal of such a square, for which it holds that its area is equal to its perimeter (without considering units, numerically ...). - 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? - Trapezoid thirds
The ABCD trapezoid has parallel sides AB and CD. The E point lies on the AB side. The segment DE divides the trapezoid into two parts with the same area. Find the length of the AE line segment. - 2d shape
Calculate the area of a shape in which an arbitrary point is not more than 3 cm from the segment AB. The length of segment AB is 5 cm. - Equilateral 4486
If we increase one side of the triangle by 11 cm and reduce the other by 11 cm, we get an equilateral triangle. Four times the shortest side of the triangle is 10 cm greater than three times the triangle's longest side. Find all the lengths of the sides o
- Trapezoid MO-5-Z8
ABCD is a trapezoid in that lime segment CE is divided into a triangle and parallelogram. Point F is the midpoint of CE, the DF line passes through the center of the segment BE, and the area of the triangle CDE is 3 cm². Determine the area of the trapezoi - Circumference 4246
In the ABC triangle, we connected the centers of the sides, creating a smaller triangle with a circumference of 14 centimeters. What is the perimeter of triangle ABC? - Hypotenuse 4221
Find the set of points formed by the center of gravity of right triangles with the same hypotenuse (build several possible triangles into one image). - Candy - MO
Gretel deploys different numbers to the vertex of a regular octagon, from one to eight candy. Peter can then choose which three piles of candy to give Gretel others retain. The only requirement is that the three piles lie at the vertices of an isosceles t - Centimeters 4170
In triangle ABC, we connected the centers of the sides, and we got a smaller triangle with an area of 14 cm². What is the content of triangle ABC in square centimeters?
- Billiard balls
A layer of ivory billiard balls radius of 6.35 cm is in the form of a square. The balls are arranged so that each ball is tangent to everyone adjacent to it. In the spaces between sets of 4 adjacent balls, other balls rest, equal in size to the original. - Hexagon rotation
A regular hexagon of side 6 cm is rotated at 60° along a line passing through its longest diagonal. What is the volume of the figure thus generated? - trapezium 3428
Given is a trapezoid ABCD with bases AB, CD. Let K be side AB's midpoint, and point L be side CD's midpoint. The area of triangle ALB is 15 cm2, and the area of triangle DKC is 10 cm². Calculate the area of trapezium ABCD. - 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? - Flowerbed
The family has tulips on a square flower bed of 6 meters. Later they added a square terrace with a side of 7 meters to their house. One vertex of the terrace lay exactly in the middle of a tulip bed, and one side of the terrace divided the side of the tul
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