Practice problems of the triangle - page 69 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: 2332
- Determine 4258
Determine the length of the side of the diamond, with its two diagonals being 12 cm and 6 cm long. - Dimensions 81670
A wooden crate with dimensions d=3m, e=4m, and f=3m was placed in a transport container with dimensions a=10 m, b=4m, and c=3m. What is the maximum length of a straight, rigid rod of negligible diameter that can still be placed in the container in this si - Administrator 23801
The administrator of the castle is trying to estimate how many square meters of sheet metal will be needed for the new roof of the tower. The roof has the shape of a cone. The castle administrator knows that the tower's diameter is 4.6 meters and its heig - Four-sided 7833
The tower has the shape of a regular four-sided pyramid with a base edge of 0.8 m. The height of the tower is 1.2 meters. How many square meters of sheet metal is needed for coverage if we count eight percent for joints and overlap?
- Pentagon
Calculate the area of a regular pentagon, which diagonal is u=16. - A rhombus
A rhombus has sides of the length of 10 cm, and the angle between two adjacent sides is 76 degrees. Find the length of the longer diagonal of the rhombus. - The diamond
The diamond has 35 cm-wide sides, and the diagonals are in a ratio of 1:2. Calculate the diagonal lengths. - Surrounded 13601
The letter H is part of a square surrounded by a circle with a diameter of 42 cm. Is a fabric 1 meter long enough to make this letter? Neglect the thickness of the fabric. - 45-degree 17861
The ant looks at a 45-degree angle at the top of the tree, 15 m away from the tree. How tall is the tree?
- Tent
A pyramid-shaped tent has a base square with a side length of 2 m and a height of 1.7 m. How many meters of canvas is needed to make it if we should add 10% for waste? - Percentage 66724
If the rhombus side in the image increases by half, by what percentage will the area of the rhombus increase? - Four-sided 7910
The roof of the recreation cottage has the shape of a regular four-sided pyramid with a height of 8m and a base edge of 4m. How much ℅ went to folds and joints, and 75.9 square meters of sheet metal were used to cover the roof? - Deviation 4905
The flower bed has the shape of a regular 4-sided pyramid. The edge of the lower plinth is 10 m, and the upper plinth is 9 m. The deviation of the side wall from the base is 45 degrees. How many plantings should be purchased if 90 are needed to plant 1 sq - Parametrically 6400
Find the angle of the line, which is determined parametrically x = 5 + t y = 1 + 3t z = -2t t belongs to R and the plane, which is determined by the general equation 2x-y + 3z-4 = 0.
- 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. - Diamond and diagonals
A diamond has diagonals f = 8 cm and g = 6 cm long. How long is this diamond perimeter? (Calculate it!) - Rhombus OWES
OWES is a rhombus, given that OW is 6cm and one diagonal measures 8cm. Find its area? - Draw triangle
Construct right triangle MNO with hypotenuse o = 5 cm and angle MNO = 37° - Must-have 7893
If we want to make a prism with a wooden base with a 5 cm side of a wooden bar, what is the bar's smallest diameter?
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