Triangle practice problems - page 53 of 125
Number of problems found: 2496
- Building 81885
A ladder leans against the building; its length is 7.5 meters. The bottom is 2 meters away from the building. At what height is it leaning against the wall? - Carpenter - kitchen
The carpenter leaned the two-meter kitchen counter against the wall. The lower edge is 0.75m away from the wall. At what height from the ground is the board's top edge resting? - Steps
How many steps do you save if you go square estate for diagonal (crosswise) rather than circumvent the two sides of its perimeter with 458 steps? - Square 2
Points D[10,-8] and B[1,-10] are opposed vertices of the square ABCD. Calculate the area of the square ABCD. - Regular triangular pyramid
Calculate the volume and surface area of the regular triangular pyramid. The height of the pyramid is 12 centimeters. The bottom edge is 4 centimeters, and the height of the sidewall is 12 centimeters. - Statements true/false
Which of the statements is not correct: ... - 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). - Sides of right angled triangle
One leg is 1 m shorter than the hypotenuse, and the second leg is 2 m shorter than the hypotenuse. Find the lengths of all sides of the right-angled triangle. - Staircase 81963
How long is the staircase railing with 17 steps if the step is 32 cm deep and 14.5 cm high? The last step does not count. - Calculate 2673
In triangle ABC, the height on the c side is 12 cm. Calculate the area of this triangle if a = 15 cm and b = 13 cm. - Hypotenuse and legs
A right triangle with hypotenuse c=25 dm is given. Calculate the length of the unknown side, given: side a=15 dm. Find the area of this triangle. Sketch the triangle and describe all its vertices and sides correctly. - A-shaped ladder
An unfolded double ladder (A-shaped rung) is 10 m long. How high will it reach if the painter extends both parts of the ladder and ensures that the two parts of the ladder are 12 m apart on the ground? - Land
A rectangular, triangular piece of land has an area of 30 square meters and a 12 meter-long leg. How many meters of fence do you need to fence this piece of land? - Dog
The dog is tied to a chain, which is mounted in the corner of the yard. The yard is shaped like a square with a side length of 20 meters. The same length is also a dog chain. Are there places in the yard where the dog can't reach? - Three points
Three points, K (-3; 2), L (-1; 4), and M (3, -4), are given. Find out: (a) whether the triangle KLM is right b) calculate the length of the line to the k side c) write the coordinates of the vector LM d) write the directional form of the KM side e) write - Calculate 8166
Calculate the perimeter of a square when we know the length of its diagonal e = 4.2 m - Squares above sides
In a right triangle, the areas of the squares above its sides are 169, 25, and 144. The length of its longer leg is: - Triangle
Calculate the triangle sides if its area S = 630 and the second cathetus is shorter by 17. - Trigonometric functions
In the right triangle is: tg α= frac(4) 2 Find the value of s and k: sin α= (s)/(√ 20) cos α= (k)/(√ 20) - Determine 79864
Determine by how many meters the deviated tower, whose height is 56m, and the top of the tower is located at 55.855m.
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