Triangle practice problems - page 63 of 127
Number of problems found: 2521
- Confectionery
The confectioner needs to carve a cone-shaped decoration from a ball-shaped confectionery mass with a radius of 25 cm. Find the radius of the base of the ornament a (and the height h). He uses as much material as possible is used to make the ornament. - Triangle construction sides
Construct triangle HOP, if o = 6 cm, h = 8 cm and | PHO | = 90 ° - Vector endpoint magnitude
The endpoint of the vector, which is located at the origin of the Cartesian system Oxy, is given. Determine the coordinates of the vector and its magnitude, and sketch it: P[3,4]; Q[-2,7]; S[-5,-2] . .. i.e., Vectors PO, QO, SO - Construct 1
Construct a triangle ABC, a = 7 cm, b = 9 cm with a right angle at C, and construct the axis of all three sides. Measure the length of side c (and write). - Square
Points A[9,9] and B[-4,1] are adjacent vertices of square ABCD. Calculate the area of square ABCD. - Perimeter of circle
Calculate the circumference of a described circle to the triangle with sides 9,12,15 cm. - Calculate cuboid
Given cuboid ABCDEFGH. We know that |AB| = 1 cm, |BC| = 2 cm, |AE| = 3 cm. Calculate in degrees the angle size formed by the lines BG and FH . - Base diagonal
In a regular four-sided pyramid, the side edge forms an angle of 55° with the base's diagonal. The length of the side edge is eight meters. Calculate the pyramid's surface area and volume. - Deviation of the lines
Find the deviation of the lines AG BH in the ABCDEFGH box-cuboid if given | AB | = 3 cm, | AD | = 2 cm, | AE | = 4 cm - Right triangular prism
We have a cuboid with a base and dimensions of 12 cm and 5 cm and a height of 4 cm. The tablecloth is cut into two identical triangular prisms with right triangular bases. We painted the surface of the created prisms with color. Calculate the surface area - The triangle 5
The triangle below has vertices A(-1,-2), B(2,2), and C(-1,4). What is the area of △ABC in square coordinate units? - Lengths of medians from coordinates
There is a triangle ABC: A [-6.6; 1.2], B [3.4; -5.6], C [2.8; 4.2]. Calculate the lengths of its medians. - Tin sheet
How much sheet metal is needed for a box in the shape of a triangular prism with a base edge of 20 cm, base height of 15 cm, and prism height of 30 cm? An additional 10% of sheet metal is needed for joins. - Isosceles weight
A designer weight is made from a glass cube by cutting off a triangular prism with an isosceles right-triangle base, where the legs of the triangle are each half the length of the cube's edge. What percentage of the cube is removed when making the weight? - Space diagonal angles
Calculate the angle between the body diagonal and the side edge c of the block with dimensions: a = 28 cm, b = 45 cm, and c = 73 cm. Then, find the angle between the body diagonal and the plane of the base ABCD. - Calculate cone
The rotating cone has a base radius r = 226 mm, and the deviation of the side from the base plane is 56°. Calculate the height of the cone. - Ratio of edges
The cuboid dimensions are in a ratio of 3:1:2. The body diagonal has a length of 28 cm. Find the volume of a cuboid. - Rotation of the Earth
Calculate the linear speed of the Earth's surface at a latitude of 34.5°. Assume a globe with a radius of 6378 km. - Parabola focus equation
Determine the equation of the parabola that has the point F = [3,2] as its focus and the line x+y+1=0 as its shift line. - Distance
What is the distance between the origin and the point (-11; 13)?
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