Right triangle practice problems - page 43 of 86
Number of problems found: 1716
- Vertex angle - cone
The rotating cone has a height of 72 cm and an angle at the top of 72°. Determine the volume of a sphere with the same radius as the cone. - Cube diagonals
If you know the length of the body diagonal u = 216 cm, determine the cube's volume and surface area. - North + west
Find the magnitude of the resultant of the given vectors: vector 1:2 m/s, north vector 2:7 m/s, west - Parametric form
Calculate the distance of point A [2,1] from the line p: X = -1 + 3 t Y = 5-4 t Line p has a parametric form of the line equation. - Hyperbola
Find the equation of hyperbola that passes through the point M [30; 24] and has focal points at F1 [0; 4 sqrt 6], F2 [0; -4 sqrt 6]. - The gable
The house's gable is an isosceles triangle with a base length of 14 meters and arms lengths of 8 meters. What is the tall gable of the house? - Triangular prism
The regular triangular prism has a base edge of 8.6 dm and a height of 1.5 m. Find its volume and surface area. - Calculate a prism Calculate the volume and surface area of a prism whose height is 16cm and whose base is a right triangle with sides of 5cm and 12cm and a hypotenuse of 13cm.
- Pyramid height
Find the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height h = 20cm. - Pyramid in cube
In a cube with an edge 12 dm long, we have an inscribed pyramid with the apex at the center of the cube's upper wall. Calculate the volume and surface area of the pyramid. - Sphere - parts
Calculate the area of a spherical cap, which is part of an area with a base radius ρ = 8 cm and a height v = 4.2 cm. - Triangular 6950
A triangular prism has the base of a right triangle with 6 dm and 8 dm legs and a hypotenuse of 10 dm. The height of the prism is 40 dm. What is the volume of a prism? - Calculate 3019
The height is 5 cm, and the size of the angle that the side of the cone with the base makes is 63 degrees. Calculate the surface and volume of this cone. - Diagonals
Draw a square ABCD whose diagonals have a length of 6 cm. - Calculate 66814
Calculate the area and perimeter of the right triangle ABC if A [5.5; -2.5] B [-3; 5] C [-3; -2.5] - Nice prism
Calculate the cuboid's surface if the sum of its edges is a + b + c = 19 cm and the body diagonal size u = 13 cm. - Sphere and cone
Within the sphere of radius G = 33 cm, inscribe the cone with the largest volume. What is that volume, and what are the dimensions of the cone? - Perpendicular 35183
Calculate the surface and volume of a vertical prism if its height h = 18 cm and if the base is an equilateral triangle with side length a = 7.5 cm. - Perpendiculars 2756
Determine the volume and surface of a prism with the base of a right triangle if the perpendiculars are: a is 1.2 cm. b is 2cm. The height of the body is 0.3 dm. - Equilateral tetrahedral pyramid
The base edge of a regular tetrahedral pyramid is a = 4 cm. The base and walls are equilateral. Calculate the surface of this pyramid.
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