Practice problems of the right triangle - page 58 of 82
A right triangle is a type of triangle that has one angle that measures exactly 90 degrees (a right angle). This angle is formed by the intersection of two of the triangle's sides, which are called the legs of the triangle. The other side of the triangle is called the hypotenuse, which is the side opposite the right angle, and is the longest side of the triangle. Right triangles are important in mathematics and are used in many areas of science and engineering, including trigonometry, physics, and construction. The Pythagorean theorem which states that in a right triangle, the sum of the squares of the legs (a,b) equals the square of the hypotenuse (c) is a fundamental result in geometry.Number of problems found: 1624
- Hexagon 8167
How many dm² of organic glass is needed to produce 50 washers in the shape of a regular hexagon? The side is 8 cm long. - ISO trapezoid v2
Bases of Isosceles trapezoid measured 20 cm and 4 cm, and its perimeter is 55 cm. What is the area of a trapezoid? - R Trapezium
Rectangular trapezium has bases 21 and 10 and area 92 cm². What is its perimeter? - A hiker
A hiker plans to hike up one side of a mountain and down the other side of points a mountain, each side of the mountain formed by a straight line. The angle of elevation at the starting point is 42.4 degrees, and the angle of elevation at the end is 48.3
- Parallelogram 49383
The parallelogram has the sides a = 25.3 b = 13.8, and the angle closed by the sides is a = 72 °. Calculate the area of the parallelogram. - Cube diagonal
Determine the length of the cube diagonal with edge 23 km. - Triangular 6610
The shell of the rotating cylinder is four times larger than the contents of its base. Determine the volume of the regular triangular prism inscribed in the cylinder. The radius of the bottom of the cylinder is 10 cm. - The roof
The tower's roof has the shape of a regular quadrangular pyramid, the base edge of which is 11 m long, and the side wall of the animal with the base at an angle of 57°. Calculate how much roofing we need to cover the entire roof if we count on 15% waste. - Diagonals 82850
How do I find the diagonals of a rhombus if its perimeter is 80dm and one diagonal is 2x larger than the other?
- Pyramid
The pyramid has a base rectangle with a = 6cm, b = 8cm. The side edges are the same, and their length is 12.5 cm. Calculate the surface of the pyramid. - Rectangular trapezium
Calculate the perimeter of a rectangular trapezium when its area is 576 cm² and side a (base) is 30 cm, height 24 cm. - Constructed 77874
Squares are constructed above the overhangs and the transom. Connecting the outer vertices of adjacent squares creates three triangles. Prove that their contents are the same. - Northeast 66694
Katka and Honza rode out on their scooters at the same time. Katka drove at a speed of 4.5 km/30 min, and Honza drove at a speed of 4 km/20 min. a) how many m did they travel in 2 minutes if they went in the opposite direction? b) how many miles did they - Metal balls
Four metal balls with a diameter of 5 cm are placed in a measuring cylinder with an inner diameter of 10 cm. What is the smallest water volume to be poured into the cylinder so that all balls are below the water level?
- Elevation
What must be an observer's elevation so that he may see an object on the Earth 536 km away? Assume the Earth to be a smooth sphere with a radius 6378.1 km. - Hexagon
There is a regular hexagon ABCDEF. If the area of the triangle ABC is 22, what is the area of the hexagon ABCDEF? I do not know how to solve it simply.... - Body diagonal
Calculate the length of the body diagonal of the 6cm cube. - Rectangular 5798
The pyramid has a rectangular base with dimensions a = 5cm, b = 6cm. The side edges are identical; their length is h = 11cm. Calculate the surface of the pyramid. - Calculate 20643
Calculate the area and perimeter of the building plot in the shape of an isosceles trapezoid with a base of 120 m, 95 m, and a height of 50 m.
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