Triangle practice problems - page 81 of 125
Number of problems found: 2492
- Last storm - tree
Mr. Radomír had a misfortune during the last storm; a tree fell on his roof in the shape of a regular four-sided pyramid and destroyed it all. The roof has a base edge length of 8m and a side edge length of 15m. How many m² of roofing will he have to buy?
- Canopy
Mr Peter has a metal roof cone shape with a height of 127 cm and radius 130 cm over well. He needs to paint the roof with anticorrosion. If the manufacturer specifies the consumption of 1 kg to 3.3 m2, how many kg of color must he buy?
- Angle of the body diagonals
Using the vector dot product calculate the angle of the body diagonals of the cube.
- Pilot
How high can the airplane's pilot see 0.001 of Earth's surface?
- Consumption 17823
The roof is a regular hexagonal pyramid shell with a wall height of v = 5 m and a base edge of a = 4 m. Calculate the consumption of sheet metal to cover the roof, assuming 15% losses.
- Cuboid
Find the dimensions of cuboids a, b, and c; if diagonal d=6 dm has an angle with edge α=35° and has an angle with edge b β=66°
- The bridge
Across the circle, the lake passes through its center bridge over the lake. At three different locations on the lakeshore are three fishermen, A, B, and C. Which of the fishermen sees the bridge from the largest angle?
- Cross-section 4343
Premium quality olive oil is sold in a glass bottle with a square cross-section packed in a special cylinder tube. The square's perimeter that forms the bottle's cross-section is 28 cm. What is the radius of this tube?
- Height—the 6183
In the isosceles trapezoid ABCD, the base length is a = 10cm, c = 6cm, and the arm's length is 4cm. Calculate its height—the result round to tenths.
- Calculate 5
Calculate the area and perimeter of a trapezoid if side a=10, angle alpha 40 degrees, beta 50 degrees, and side c=3.
- Roof cover
Above the pavilion with a square ground plan with a side length of a = 12 m is a pyramid-shaped roof with a height v = 4.5 m. Calculate how much m² of sheet metal is needed to cover this roof; if 5.5% of the sheet, we must add for joints and waste.
- Jewel
Rhombus-shaped jewel has an area of 109 mm², and the edge is long 13 mm. Calculate the size of the acute rhombus angle.
- Body diagonal
Calculate the length of the body diagonal of a block with dimensions: a = 20 cm, b = 30 cm, c = 15 cm.
- Cube in sphere
The sphere is an inscribed cube with an edge of 8 cm. Find the sphere's radius.
- Hole's angles
I am trying to find an angle. The top of the hole is .625", and the bottom of the hole is .532". The hole depth is .250". What is the angle of the hole (and what is the formula)?
- Infinity
A square with a side 19 long is an inscribed circle, and the circle is inscribed next to the square, circle, and so on to infinity. Calculate the sum of the area of all these squares.
- Pentagon
Within a regular pentagon ABCDE point, P is such that the triangle is equilateral ABP. How big is the angle BCP? Make a sketch.
- Rhombus diagonals
In the rhombus ABCD, the sizes of the diagonals e = 24 cm and f = 10 cm are given. Calculate the side length of the diamond and the size of the angles, and then calculate the area of the diamond.
- Hypotenuses 83154
In a right-angled triangle ABC with a right angle at the vertex C, the magnitudes of the hypotenuses are given ta=5, tb=2√10. Calculate the side sizes of triangle ABC and the circle's radius described by this triangle.
- Calculate 8252
Calculate in cm² the area of a circle whose diameter is equal to the length of the diagonal of a square ABCD with a side of 4cm.
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