Practice problems of the triangle - page 106 of 117
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. The sum of the measures of the interior angles of a triangle is always 180 degrees. An exterior angle of a triangle is an angle that is a linear pair (and hence supplementary) to an interior angle. The best known area formula is T = a*h /2 where a is the length of the side of the triangle, and h is the height or altitude of the triangle.Number of problems found: 2321
- Chord
In a circle with a radius r=60 cm is the chord, 4× longer than its distance from the center. What is the length of the chord? - Parallelogram 5027
Calculate the area of the parallelogram if the side sizes are a = 80, b = 60, and the size of the diagonal angle is 60°. - Circumference 4246
In the ABC triangle, we connected the centers of the sides, creating a smaller triangle with a circumference of 14 centimeters. What is the perimeter of triangle ABC? - Diagonals at right angle
In the trapezoid ABCD, this is given: AB=12cm CD=4cm And diagonals crossed under a right angle. What is the area of this trapezoid ABCD?
- Quadrilateral 69834
What is the volume of a regular quadrilateral pyramid? The pyramid height is 30 cm, and the wall height is 50 cm. - Quadrilateral 32193
In a regular quadrilateral pyramid, the base edge a = 6cm, the side edge b = 10cm. Calculate the height of the pyramid. - Quadrilateral 14103
Calculate the volume of a regular quadrilateral pyramid whose wall height is w = 12cm. - Determine 6415
Determine the distance of two parallel chords of lengths of 7 cm and 11 cm in a circle with a radius of 7 cm. - Quadrilateral 6353
Given is a regular quadrilateral pyramid with a figure of a square. Side = 16 cm, S = 736 cm². Calculate h (body height) and body volume V.
- Approximately 6576
The honeycomb comprises cells with the shape of a regular 6-sided prism with a base edge length of 3 mm and a corresponding height of 2.6 mm. The height of the prism is 12 mm. How many liters of honey are there in the entire comb if the plastic comprises - Quadrangular pyramid
Given is a regular quadrangular pyramid with a square base. The body height is 30 cm, and volume V = 1000 cm³. Calculate its side and its surface area. - The Scout Tent
The Scout Tent has a rectangular wooden underlay with 220 cm and 150 cm dimensions. How much canvas is needed for a 170 cm high pyramid roof? - triangle 5420
Two pairs of parallel lines, AB to CD and AC to BD, are given. Point E lies on the line BD, point F is the midpoint of the segment BD, point G is the midpoint of the segment CD, and the area of the triangle ACE is 20 cm². Determine the area of triangl - The chord
A chord passing through its center is the side of the triangle inscribed in a circle. What size are the internal angles of a triangle if one of them is 40°?
- Circumference 30781
How many square decimeters of decorative paper are needed to make cone-shaped carnival hats for 46 first-graders if the first-graders head circumference is 49 cm and the cap height is 33 cm? Is it necessary to add 3% paper to the folds? - Calculate 30281
One angle of the skeleton is 30 degrees larger than the other. Calculate all its angles. - Cone
The circular cone of height 15 cm and volume 5699 cm³ is at one-third of the height (measured from the bottom) cut by a plane parallel to the base. Calculate the radius and circumference of the circular cut. - Quadrilateral 82066
Calculate the volume of a regular quadrilateral pyramid with a square base of side a = 3 cm and side length b = 7 cm. - Corresponding 7100
A honeycomb is made up of cells that resemble a regular hexagonal prism, with a base edge length of 3 mm and a corresponding height of 2.6 mm. The height of the prism is 12 mm. a) How many liters of honey are there in the whole comb if the comb consists o
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