Right triangle practice problems - page 109 of 126
Number of problems found: 2520
- Cube triangle volume
In the cube ABCDEFGH, the area of triangle ABK is √20 cm². How much cm² is the volume of ABGH in a cube if you know that K is the midpoint of edge CG? - Regular quadrilateral pyramid
Find the volume and surface of a regular quadrilateral pyramid if the bottom edge is 45 cm long and the pyramid height is 7 cm. - Pyramid 4sides
Calculate the volume and the surface of a regular quadrilateral pyramid when the edge of the base is 4 cm long, and the pyramid's height is 7 cm. - Triangle greenhouse
A greenhouse has the shape of a prism lying on its side wall. The base consists of a trapezoid and a triangle. The lower base of the trapezoid has a length of 3 m, the upper base (and the side of the triangle) has a length of 2 m, the height of the trapez - Wall height
Calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height w = 20 cm. - Pentagonal pyramid
Calculate the volume of a regular 5-side (pentaprism) pyramid ABCDEV; if |AB| = 6.7 cm and a plane ABV, ABC has angle 32 degrees. - Triangular prism
The base of a right triangular prism is a right triangle with hypotenuse 14 cm and one leg 9 cm. The height of the prism equals 2/9 of the base's perimeter. Calculate the surface area of the prism. - Dodecagon
Calculate the size of the smaller angles determined by lines A1 A4 and A2 A10 in the regular dodecagon A1 A2A3. .. A12. Express the result in degrees. - Segment length
Calculate the length of the line segment AB, given A [8; -6] and B [4; 2] - Distance
Calculate the distance between two points K[6; -9] and G[5; -1]. - The tent
The tent shape of a regular quadrilateral pyramid has a base edge length of a = 2 m and a height of v = 1.8 m. If we have to add 7% of the seams, how many m² of cloth did we need to make the tent? How many m³ of air will be in the tent? - Children pool
The bottom of the children's pool is a regular hexagon with a = 60 cm side. The distance between opposing sides is 104 cm, and the height of the pool is 45 cm. A) How many liters of water can fit into the pool? B) The pool is made of a double layer of pla - Hexaprism container
Calculate the volume and surface in the shape of a regular hexagonal prism with a height of 1.4 m, a base edge of 3 dm, and a corresponding height of 2.6 dm. - Prism
A right prism's length, width, and height are 17, 11, and 11, respectively. What is the length of the longest segment whose endpoints are vertices of the prism? - Midpoint of segment
Find the distance and midpoint between A(1,2) and B(5,5). - Angle ASB
On a circle with a radius of 10 cm and with a center S, the points A, B, and C are given so that the central angle ASB is 60 degrees and the central angle ASC is 90 degrees. Find the length of the circular arc and the amount of AB and AC offsets. - Pyramid complete
A regular quadrilateral pyramid is given: a = 27 mm, w = 21 mm (wall height). Calculate the height, volume, and surface area of the pyramid. - Central angle calculation
There is a circle with a radius of 10 cm and its chord, which is 12 cm long. Calculate the magnitude of the central angle that belongs to this chord. - Regular hexagonal prism
Calculate the volume of a regular hexagonal prism whose space diagonals are 24 cm and 25 cm long. - Pyramid volume calculation
Please calculate the volume of a quadrilateral pyramid when a = 5 cm and the wall height is w = 12 cm.
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