Square (second power, quadratic) + triangle - practice problems - page 17 of 40
Number of problems found: 793
- Triangular 24001
The tent's floor consists of a square with a side of 2.4 m, and the front and back wall is an isosceles triangle with a height of 1.6 m. Calculate the volume of air in the tent in liters. (Laid triangular prism.) - Administrator 23801
The administrator of the castle is trying to estimate how many square meters of sheet metal will be needed for the new roof of the tower. The roof has the shape of a cone. The castle administrator knows that the tower's diameter is 4.6 meters and its heig - Quadrilateral 23701
We know the base diagonal length of u = 4 cm in a regular quadrilateral pyramid. The height of the pyramid is v = 5cm. Calculate the size of the side edge and the base edge of the pyramid. - The right triangle
The right triangle ABC has a leg a = 36 cm and an area S = 540 cm². Calculate the length of the leg b and the median t2 to side b. - Concentric circles and chord
In a circle with a diameter d = 10 cm, a chord with a length of 6 cm is constructed. What radius has the concentric circle while touching this chord? - Flowerbed 23051
The flowerbed in the shape of a square has a hedge 27 m long planted on its three sides. Calculate the perimeter of the whole flowerbed - Flakes
A circle was inscribed in the square. We draw a semicircle above each side of the square as above the diameter. This resulted in four chips. Which is bigger: the area of the middle square or the area of the four chips? - Quadrilateral 22003
The shelter has the shape of a regular quadrilateral pyramid without a front wall. The length of the base edge is 3 meters, and the shelter's height is 3.5 meters. How much canvas must be bought to sew it if we have to increase consumption by 20% for fold - Cone roof
How many m² of roofing is needed to cover a cone-shaped roof with a diameter of 10 m and a height of 4 m? Add an extra 4% to the overlays. - Quadrilateral 21523
Calculate the surface area and volume of a regular quadrilateral pyramid if the edge of the lower base is 18 cm and the edge of the upper base is 15 cm. The wall height is 9 cm. - A kite
Children have a kite on an 80m long rope, which floats above a place 25m from the place where children stand. How high is the dragon floating above the terrain? - Height to the base
The triangle area is 35 cm². The size of the base is 10 cm. Find the length of height to the base. - An equilateral
An equilateral triangle is inscribed in a square of side 1 unit long so that it has one common vertex with the square. What is the area of the inscribed triangle? - Calculate 20643
Calculate the area and perimeter of the building plot in the shape of an isosceles trapezoid with a base of 120 m, 95 m, and a height of 50 m. - Horses playground
The fence for the horses has the shape of a rectangular trapezoid with an area of 400 m². The base lengths should be 31 m and 19 m. How many meters of boards will they need to fence if they are stacked in 5 rows? - Decide 2
Decide whether points A[-2, -5], B[4, 3], and C[16, -1] lie on the same line - Quadrilateral 19413
Calculate the surface area of a regular quadrilateral pyramid given: a= 3.2 cm h= 19 cm Method: 1) calculation of the height of the side wall 2) content of the base 3) shell contents 4) the surface of a regular quadrilateral pyramid - Isosceles 19393
How many dm² of the area is an isosceles triangle if the angle at the base is 45˚ and the bottom is 10 cm long? - Chord BC
A circle k has the center at the point S = [0; 0]. Point A = [40; 30] lies on the circle k. How long is the chord BC if the center P of this chord has the coordinates [- 14; 0]? - Triangle 18923
The sticker is shaped like a triangle with a side 5.4 cm long and 3 cm high. Most of such stickers can be made of 1 m square paper. Thank you
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