Triangle practice problems - page 82 of 126
Number of problems found: 2520
- Diagonals
The rhombus has two diagonals, e=14 dm, and f=11 dm. Calculate the side angle and height of the rhombus. - Sin cos tan
If cos y = 0.8, 0° ≤ y ≤ 90°, find the value of (4 tan y) / (cos y-sin y) - Inscribed circle
A circle is inscribed in the triangle with sides of 13 cm, 14 cm, and 15 cm. What is its radius? - Company logo
The company logo consists of a blue circle with a radius of 4 cm and an inscribed white square. What is the area of the blue part of the logo? - Triangle perimeter
The right triangle has squares in the ratio of 5:12, and the circumscribed circle diameter is 26 cm. Determine its perimeter. - Calculate cuboid, diagonals
The volume of a cuboid with a square base is 64 cm3, and the space diagonal deviation from the base's plane is 45 degrees. Calculate its surface area. - A Pile of salt
A Pile of salt has been stored in the shape of a cone. Mr. Terwilliker knows that the pile is 20 feet tall and 102 feet in circumference at the base. What area of the conical tarpaulin (a large sheet of material) is needed to cover the pile? - Roof material
A house has a pyramid-shaped roof on a square floor plan with base dimensions of 12 × 12 m and a height of 2 m at the apex. How much roofing material needs to be bought? Include a 10% reserve. - How many
How many m² of copper sheet is needed to replace the roof of a conical tower with a diameter of 13 meters and a height of 24 meters if we count 8% of the material for bending and waste? - 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? - 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. - Touch x-axis
Find the equations of circles that pass through points A (-2; 4) and B (0; 2) and touch the x-axis. - Tangent Circle Construction Point
A circle k (S; 2.5 cm) and a point L are given if | SL | = 4 cm. Make a tangent to the circle passing through point L. - Circle tangent
A circle with centre S and radius 3.5 cm is given. The distance from centre S to line p is 6 cm. Construct a tangent to the circle that is perpendicular to line p. - MO - triangles
On the AB and AC sides of the ABC triangle lies successive points E and F, and on segment EF lie point D. The EF and BC lines are parallel. It is true this ratio FD:DE = AE:EB = 2:1. The area of the ABC triangle is 27 hectares, and line segments EF, AD, a - Percentage - rhombus
If the side of the rhombus in the image increases by half, by what percentage will the area of the rhombus increase? - Diamond circumference calculation
In the diamond ABCD, the angle BAD is 60°; the length of the diagonal BD is 7 cm. Calculate the circumference of the diamond. - Diamond - Equilateral Triangles
We composed the diamond of four equilateral triangles with a side length of 7 cm. What is its perimeter? - Diagonals in diamons/rhombus
Rhombus ABCD has a side length AB = 4 cm and a length of one diagonal of 6.4 cm. Calculate the length of the other diagonal. - Deviation - slope angle
Calculate the volume and surface of the rotating cone if its height is 10 cm and the side has a deviation of 30° from the base plane.
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