Triangle practice problems - page 82 of 125
Number of problems found: 2492
- Mysterious area
The trapezoid ABCD is given. Calculate its area if the area of the DBC triangle is 27 cm². - Trapezoid 82216
Given is an isosceles trapezoid ABCD with bases 10 cm and 14 cm. The height of the trapezoid is 6 cm. Determine the interior angles of the trapezoid. - Circumference 7823
The bases are 9 cm and 5 cm long in a rectangular trapezoid. The length of the shorter arm is 3 cm. Calculate its circumference and area. - Classic tent
The tent is shaped like a triangular prism. The front and rear walls are isosceles triangles with a height of 18 dm and arms 19.5 dm long. It is 1.5 m wide and 2 m long. How many square meters of fabric are needed to make a tent? How much air is in it? - Ice cream maker
Ice cream maker Eda has invented a new nice cone in the shape of a regular four-sided pyramid, in which he will sell his ice cream. The cone will have a side edge length of 5 cm and a wall height of 4 cm. In order to mass-produce it in the factory, they s - Cubes
One cube is an inscribed sphere, and the other one is described. Calculate the difference of volumes of cubes if the difference of surfaces in 231 cm². - Trapezoids
In the isosceles trapezoid ABCD we know: AB||CD, |CD| = c = 8 cm, height h = 7 cm, |∠CAB| = 35°. Find the area of the trapezoid. - Centimeters 83177
The carpenter cut a right-angled triangle with free sides of 550 mm and 200 mm from the wooden canvas, the face of a rectangle with dimensions of 80 CM and 65 CM. How many square centimeters will the waste make up? - Four-sided 5957
How much m² of the galvanized sheet is used to cover the roof of the tower, which has the shape of a four-sided pyramid, whose base edge is 6 m long? The height of the tower is 9m. When covering, is 5% metal waste expected? - Pentadecagon
Calculate the area of a regular 15-side polygon inscribed in a circle with a radius r = 4. Express the result to two decimal places. - Flowerbed
The flowerbed has the shape of a truncated pyramid. The bottom edge of the base a = 10 m, and the upper base b = 9 m. The deviation angle between the edge and the base is alpha = 45°. What volume is needed to make this flowerbed? How many plants can be pl - Rectangle ABCD
The rectangle ABCD is given whose | AB | = 5 cm, | AC | = 8 cm, ∢ | CAB | = 30°. How long is the other side, and what is its area? - Rectangle diagonal
The rectangle, one side of which is 5 cm long, is divided by a 13 cm diagonal into two triangles. Calculate the area of one of these triangles in cm². - Circumference 46171
Calculate the circumference and area of a rectangle with one side 6 cm long and a diagonal 10 cm long. - Calculate 7214
Two tangents are drawn from point C to a circle with a radius of 76 mm. The distance between the two contact points is 14 mm. Calculate the distance of point C from the center of the circle. - Conditions 7186
Given an isosceles right triangle ABS with base AB. On a circle centered at point S and passing through points A and B, point C lies such that triangle ABC is isosceles. Determine how many points C satisfy the given conditions and construct all such point - The tetrahedron
Calculate a regular tetrahedron's surface area and volume 4.9 cm high, and the base edge has a length of 6 cm. - Cube cut
The cube ABCDA'B'C'D ' has an edge of 12cm. Calculate the area of diagonal cut B DD'B '. - Construct 61253
Using Euclid's theorem, construct a line of length √15. - Right-angled 6034
A three-sided prism has a base in the shape of a right-angled triangle with a length of 5 cm. The giant wall of the prism shell has a volume of 104 cm². The prism is 8 cm high. Calculate the volume and surface area of the prism.
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