Triangle practice problems - page 114 of 121
Number of problems found: 2412
- Calculate 80636
Calculate the distance of a chord 19 cm long from the center of a circle with a diameter of 28 cm.
- Four sides of trapezoid
The trapezoid is given by the length of four sides: 40.5, 42.5, 52.8 35.0. Calculate its area.
- Right-angled trapezoid
A right-angled trapezoid with the measure of the acute angle of 50° is given. The lengths of its bases are 4 and 6 units. The volume of the solid obtained by rotation of the given trapezoid about the longer base is:
- Pyramid-shaped roof
A block-shaped shed is covered with a quadrilateral pyramid-shaped roof with a base with sides of 6m and 3m and a height of 2.5m. How many m² (square meters) must be purchased if an extra 40% is calculated for roofing and waste?
- An Elizabethan collar
An Elizabethan collar is used to prevent an animal from irritating a wound. The angle between the opening (diameter 6 inches) with a 16-inch diameter and the side of the collar is 53 degrees. Find the surface area of the collar shown.
- Rectangular trapezoid
The rectangular trapezoid ABCD is: /AB/ = /BC/ = /AC/. The length of the median is 6 cm. Calculate the circumference and area of a trapezoid.
- Coordinates
Determine the coordinates of the vertices and the area of the parallelogram, the two sides of which lie on the lines 8x + 3y + 1 = 0, 2x + y-1 = 0, and the diagonal on the line 3x + 2y + 3 = 0
- Cut and cone
Calculate the volume of the rotation cone whose lateral surface is a circular arc with radius 15 cm and central angle 63 degrees.
- Triangular prism
Calculate the surface of a regular triangular prism; the base's edges are 6 cm long, and the height of the prism is 15 cm.
- Quadrilateral pyramid
Calculate the surface of a quadrilateral pyramid with a rectangular base, dimensions a = 8 cm, b = 6 cm, and height H = 10 cm.
- Equilateral triangle
How long should the minimum radius of the circular plate be cut into an equilateral triangle with side 21 cm from it?
- Quadrilateral - irregular
Find the length of the side d = |AD| in quadrilateral ABCD: a= 35m, b= 120m, c=85m, angle ABC = 105 degrees, angle BCD= 72 degrees
- Hexagonal 6424
Calculate the volume and surface of a regular hexagonal prism, the base edge of which is 5 cm long and its height is 20 cm.
- Square
Square JKLM has sides of a length of 24 cm. Point S is the center of LM. Calculate the area of the quadrant JKSM in cm².
- Decorative 46721
How many liters of water can fit in a decorative garden tank in the shape of a regular hexagonal pyramid with a 30 cm long base edge? The depth of the tank is 30 cm.
- Polygon 3
Polygon ABCD is dilated, rotated, and translated to form polygon QWER. The endpoints A and B are at (0, -7) and (8, 8), and the endpoints QW are at (6, -6) and (2, 1.5). What is the scale factor of the dilation?
- Calculate 2577
Calculate the length of the circle chord, which is 2.5 cm from the circle's center. The radius is 6.5 cm.
- Diagonals of a prism
The base of the square prism is a rectangle with dimensions of 3 dm and 4 dm. The height of the prism is 1 m. Find out the angle between the body diagonal and the base's diagonal.
- Perpendicular parking
Which parking lot for 5 cars occupies a larger area, perpendicular or inclined at an angle of 45°, and how much? The car has dimensions of 4m and 2m.
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