Triangle practice problems - page 105 of 124
Number of problems found: 2479
- Calculate square 2556
Calculate the arm length b of the trapezoid ABCD if a = 12 cm, c = 4 cm, the length of AC is same as the length of BC and the area S of the triangle ABC is 9 cm square. - Angle of deviation
The surface of the rotating cone is 30 cm² (with a circle base), and its surface area is 20 cm². Calculate the deviation of this cone's side from the base's plane. - Cuboidal room
The length of the cuboidal room is 2m the breadth of the cuboidal room is 3m and height is 6m find the length of the longest rod that can be fitted in the room - Six-sided 44151
The parasol has the shape of the shell of a regular six-sided pyramid, whose base edge is a=6dm and height v=25cm. How much fabric is needed to make a parasol if we count 10% for joints and waste? - Distances 79974
The picture shows three villages, A, B, and C, and their mutual air distances. The new straight railway line is to be built so that all the villages are the same distance from the line and that this distance is the smallest possible. How far will they be - Tetrahedral pyramid 8
Let all the side edges of the tetrahedral pyramid ABCDV be equally long and its base let us be a rectangle. Find its volume if you know the deviations A=40° B=70° between the planes of adjacent sidewalls and the base plane. The height of the pyramid is h= - Octagonal tank
The tank has the shape of a regular octagonal prism without an upper base. The base edge has a = 3m, and the side edge b = 6m. How much metal sheet is needed to build the tank? Do not think about losses or sheet thickness.
- Rhombus
Calculate the perimeter and area of a rhombus whose diagonals are 21 cm and 44 cm long. - Diagonals of the rhombus
Calculate the height of the rhombus whose diagonals are 18 cm and 6 cm. - Constructed 77874
Squares are constructed above the overhangs and the transom. Connecting the outer vertices of adjacent squares creates three triangles. Prove that their areas are the same. - Prism - box
The prism's base is a rectangle with a side of 7.5 cm and 12.5 cm diagonal. The volume of the prism is V = 0.9 dm³. Calculate the surface of the prism. - The cap
A rotating cone shapes a jester hat. Calculate how much paper is needed for the cap 53 cm high when the head circumference is 45 cm. - Two diagonals
The rhombus has a side length of 12 cm and a length of one diagonal of 21 cm. What is the length of the second diagonal? - Diagonals
The diagonal of a rhombus is 20 cm long. If its side is 26 cm, find the length of the other diagonal. - The perimeter
The perimeter of a rhombus whose diagonal lengths are in the ratio 3:4 is 40 cm. What is its area in cm²?
- Trapezoid - construction
Construct a trapezoid KLMN, where: k = 9 cm, l = 4 cm, m = 5 cm and angle α = 45° - Quadrilateral-trapezoid 3172
We cut two triangles from the rectangular plate so that the resulting quadrilateral-trapezoid with the same arm lengths has an area of 32 cm², and one of its bases is twice as long as the other. What is the area of the two triangles that make up the waste - Calculate 5115
In the rotating cylinder, it is given: V = 120 cm3, v = 4 cm. Calculate r, S mantle. - The diagram 2
The diagram shows a cone with a slant height of 10.5cm. If the curved surface area of the cone is 115.5 cm². Calculate to correct three significant figures: *Base Radius *Height *Volume of the cone - Quadrilateral
In the square ABCD point, P is in the middle of the DC side, and point Q is in the middle of side AD. If the area of quadrilateral BQPC is 76 cm², what is the area of ABCD?
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