Triangle practice problems - page 105 of 126
Number of problems found: 2502
- Parallelogram area perimeter
Calculate the area of a parallelogram if we know the perimeter is 23 cm, the diagonal is 8.5 cm, and one side is 1.5 cm longer. - 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. - Rhomboid
The rhomboid sides' dimensions are a= |AB|=5cm, b = |BC|=6 cm, and the angle's size at vertex A is 60°. What is the length of the diagonal AC? - 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 - Hexagon A
Calculate the area of a regular hexagon inscribed in a circle with radius r=15 cm. - 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 - Equilateral triangle
How long should the minimum radius of the circular plate be cut into an equilateral triangle with side 21 cm from it? - Rectangle
In a rectangle with sides, 8 and 9 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than any side of the rectangle? - Coat of arms
The class created its coat of arms, which had a shape composed of an isosceles trapezoid ABCD (shorter base is a = 4.5 cm long, longer 2a = 9 cm, trapezoid height 6 cm) and a semicircle with center S and diameter AB. Three identical isosceles triangles fo - 30-gon
The radius of the inscribed circle is 15cm at a regular 30-gon. Find the side length a, circle radius R, circumference, and area. - Regular n-gon
Which regular polygon has a radius of circumscribed circle r = 10 cm and the radius of inscribed circle p = 9.962 cm? - Distance Between Circle Centers
Two circles with straight radii of 58 mm intersect at two points. Their common string is 80 mm long. What is the distance of the centers of these circles? - Decagon prism
A regular decagon of side a = 2 cm is the base of the perpendicular prism. The side walls are squares. Find the prism volume in cm³, round to two decimal places. - 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. - Cylinder and Cuboid Volume
A block with a square base is inserted into a 10-centimeter-high cylinder in such a way that its base is inscribed in the base of the cylinder. The edge of the base of the block measures 4 cm. Both bodies have the same height. Calculate the difference bet - Again saw
We have a sculpture beam from the tree trunk with a rectangular cross-section with dimensions 91 mm and 87 mm. What is the trunk's smallest diameter? - Decagon
Calculate the area and circumference of the regular decagon when its radius of a circle circumscribing is R = 1m - Nine-gon
Calculate the perimeter of a regular nonagon (9-gon) inscribed in a circle with a radius 18 cm. - Hexagon 5
The distance of parallel sides of regular hexagons is 97 cm. Calculate the length of the radius of the circle described in this hexagon. - n-gon
What is the side length of the regular 5-gon inscribed in a circle of radius 14 cm?
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