Triangle practice problems - page 94 of 124
Number of problems found: 2479
- Cube - angles
Calculate the angle alpha (α) between the wall diagonal and cube base. Calculate the angle beta (β) between the cube body diagonal and the cube base. - Area of iso-trap
Find the area of an isosceles trapezoid if the lengths of its bases are 16 cm and 30 cm and the diagonals are perpendicular to each other. - In plane 2
A triangle ABC is located in the plane with a right angle at vertex C, for which the following holds: A(1, 2), B(5, 2), C(x, x+1), where x > -1. a) determine the value of x b) determine the coordinates of point M, which is the midpoint of line segment - Water channel
The cross-section of the water channel is a trapezoid. The bottom width is 19.7 m, the water surface width is 28.5 m, and the side walls have a slope of 67°30' and 61°15'. Calculate how much water flows through the channel in 5 minutes if the water flows - Equilateral 81222
A sphere is inscribed in an equilateral cone with a base diameter of 12 cm. Calculate the volume of both bodies. What percentage of the volume of the cone is filled by the inscribed sphere? - Circumference 5487
Calculate the solid diagonal of a cube if you know that the circumference of one of its walls equals 39 centimeters. - ABCD square
In the ABCD square, the X point lies on the diagonal AC. The length of the XC is three times the length of the AX segment. Point S is the center of the AB side. The length of the AB side is 1 cm. What is the length of the XS segment?
- Inscribed and described circle
Find the radii of a circle inscribed and circumscribed by a regular pentagon whose side measures 3 cm. - Which
Which of the following numbers is the most accurate area of a regular decagon with side s = 2 cm? (A) 9.51 cm² (B) 20 cm² (C) 30.78 cm² (D) 31.84 cm² (E) 32.90 cm2 - One of
One of the internal angles of the rhombus is 120°, and the shorter diagonal is 3.4 meters long. Find the perimeter of the rhombus. - Construction 82703
The plot of land for constructing family houses is shaped like a rectangular trapezoid with bases of 21m and 11.2m. For CZK 2,500 per square meter, the value of the land is calculated at CZK 1,352,400. What would be the length of wire mesh needed to fence - Triangular pyramid
A regular tetrahedron is a triangular pyramid whose base and walls are identical equilateral triangles. Calculate the height of this body if the edge length is a = 8 cm. - Suitcase - rod
The trunk of a car has the shape of a cuboid with sides 1.6m x 1.2m x 0.5m (width, depth, height). Determine the longest thin rod that can be placed on the bottom. - The pyramid
The pyramid with a square base is 50 m high, and the sidewall height is 80 m. Find the edge of the base of the pyramid. - Airplane
Aviator sees part of the earth's surface with an area of 200,000 square kilometers. How high does he fly?
- In a regular 5
In a regular triangular prism ABCV, the deviation of the side wall and the base plane is α = 45°. Determine the deviation of the side edge and the base plane. - Square-shaped 4821
The vertical prism lies on a square-shaped base with a side 3 cm long. The diagonal of the sidewall of the prism is u = 5cm. Calculate its volume. - Perpendicular 3482
The lengths of the base legs are 7.2 cm and 4.7 cm, and the height of the prism is 24 cm. Calculate the volume and surface of a triangular perpendicular prism with the base of a right triangle. - Diagonal - simple
Calculate the length of the diagonal of a rectangle with dimensions 5 cm and 12 cm. - Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are in the ratio of 4:3; leg b = 13 cm and height = 12 cm.
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