Right triangle practice problems - page 108 of 126
Number of problems found: 2520
- Quadrilateral pyramid
We have a regular quadrilateral pyramid with a base edge a = 10 cm and a height v = 7 cm. Calculate 1/base area 2/casing area 3/pyramid surface 4/volume of the pyramid - A transmitter tower
A transmitter tower is 80 metres high and is secured to the ground by 4 steel cables, each anchored 60 metres from the base of the tower. Calculate how many metres of steel cable were needed in total to secure the transmitter tower. The steel cable has a - 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. - Octahedron
All walls of the regular octahedron are identical equilateral triangles. ABCDEF octahedron edges have a length d = 6 cm. Calculate the surface area and volume of this octahedron. - Square inscribed
Find the length of the side of the square ABCD, which is inscribed to a circle k with a radius of 10 cm. - Triangle IRT
An isosceles right triangle ABC with a right angle at vertex C has vertex coordinates: A (-1, 2); C (-5, -2). Calculate the length of segment AB. - Hexagon area calculation
Calculate the area of a regular hexagon inscribed in a circle with a radius r = 7 cm. - Hexagon
Draw a regular hexagon inscribed in a circle with a radius r=15 cm. What is its perimeter? - Pyramid Height Surface Area
The regular quadrilateral pyramid has a base diagonal of 5√2 cm, and the side edges are 12√2 cm long. Calculate the height of the pyramid and its surface. - Quadrangular pyramid
The regular quadrilateral pyramid has a base length of 6 cm and a side edge length of 9 centimeters. Calculate its volume and surface area. - Hexagon
Calculate the surface area of the regular hexagonal prism, whose base edge a = 12 cm and side edge b = 3 dm. - Coordinates of a centroind
Let A = [3, 2, 0], B = [1, -2, 4], and C = [1, 1, 1] be 3 points in space. Calculate the coordinates of the centroid of △ABC (the intersection of the medians). - Sphere submerged in the cone
A right circular cone with a top width of 24 cm and an altitude of 8 cm is filled with water. A spherical steel ball with a radius of 3.0 cm is submerged in the cone. Find the volume of water below the sphere. - Diagonals at right angle
In the trapezoid ABCD, this is given: AB=12 cm CD=4 cm And diagonals crossed under a right angle. What is the area of this trapezoid ABCD? - Wall height
Calculate the surface and volume of a regular quadrilateral pyramid if side a = 6 cm and wall height v = 0.8 dm. - Hexagonal prism
Calculate the volume and surface of a regular hexagonal prism with the edge of the base a = 6 cm with the corresponding height v1 = 5.2 cm and the height of the prism h = 1 dm. - Hexagonal pyramid
Find the volume of a regular hexagonal pyramid, the base edge 12 cm long and the side edge 20 cm. - Regular hexagonal pyramid
Calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height of w = 20 cm. Sketch a picture. - Inscribed rectangle
The circle area is 231. Determine the area of the inscribed rectangle with one side 13 long. - Base RR odd
The base of a prism is an isosceles trapezoid ABCD with bases AB = 12 cm and CD = 9 cm. The angle at vertex B is 48°10′. Determine the volume and surface area of the prism if its height is 35 cm.
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