# Practice problems of the triangle - page 105 of 106

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: 2106

- Quadrilateral 24161

Calculate the volume of a quadrilateral prism whose base is an isosceles trapezoid with bases 10 cm and 4 cm, 6 cm apart. The height of the prism is 25 cm. How could the surface area be calculated? - Rectangular 13731

I have a rectangular trapezoid ZIMA (the right angle at the top of Z. ZIMA = winter in English) ZI-7cm, ZM-5cm, AM-3.5cm, and I have to write the procedure and perform a test in the design task - Meneal's 26771

Show (using Meneal's theorem) that the center of gravity divides the line in a 1: 2 ratio. - Circular ring

A square with an area of 16 centimeters is inscribed circle k1 and described to circle k2. Calculate the area of the circular ring, which circles k1, and k2 form. - Maximum of volume

The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum? - Cone A2V

The cone's surface in the plane is a circular arc with a central angle of 126° and area 415 cm². Calculate the volume of a cone. - Circle in rhombus

In the rhombus is an inscribed circle. Contact points of touch divide the sides into parts of length 19 cm and 6 cm. Calculate the circle area. - Concentric circles

In the circle with diameter, 13 cm is constructed chord 1 cm long. Calculate the radius of a concentric circle that touches this chord. - Parallelogram 43601

Calculate the area and perimeter of a parallelogram if a = 5.2cm Va = 4cm (it is a parallelogram, not a triangle) - A spherical segment

The aspherical section, whose axial section has an angle of j = 120° in the center of the sphere, is part of a sphere with a radius r = 10 cm. Calculate the cut surface. - Circular sector

I have a circular sector with a length of 15 cm with an unknown central angle. It is created from a circle with a radius of 5 cm. What is the central angle alpha in the circular sector? - Draw a trapezoid

Draw a trapezoid if given a = 7 cm, b = 4 cm, c = 3.5 cm, diagonal AC = 5cm. Solve as a construction task. - A cell tower

A cell tower is located at coordinates (-5, -7) and has a circular range of 12 units. If Mr. XYZ is located at coordinates (4,5), will he be able to get a signal? - V-belt

Calculate the length of the V-belt when the diameter of the pulleys is: D1 = 600 mm D2 = 120 mm d = 480 mm (distance between pulley axes) - Equation of circle 2

Find the equation of a circle that touches the axis of y at a distance of 4 from the origin and cuts off an intercept of length 6 on the axis x. - Horizontal Cylindrical Segment

How much fuel is in the horizontal cylindrical segment tank with a length of 10m, a width of level 1 meter, and a level is 0.2 meters below the tank's upper side? - Chord - TS

The radius of circle k measures 68 cm. Arc GH = 47 cm. What is TS? - Sphere parts, segment

A sphere with a diameter of 20.6 cm, the cut is a circle with a diameter of 16.2 cm. What are the volume of the segment and the surface of the segment? - Circular segment

Calculate the area S of the circular segment and the length of the circular arc l. The height of the circular segment is 2 cm, and the angle α = 60°. Help formula: S = 1/2 r². (Β-sinβ) - Calculate 58953

Calculate the area of a circular line if the radius r = 80 cm and the central angle is α = 110 °.

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