Triangle practice problems - page 89 of 126
Number of problems found: 2520
- Prism surface
The base of the vertical prism is a right triangle with a perpendicular 5 cm. The area of the largest wall is 130 cm2, and the body's height is 10 cm. Calculate the surface area of the body. - Rotation
A right triangle with legs 11 cm and 18 cm is rotated around the longer leg. Calculate the volume and surface area of the cone formed. - Rhombus MATH
Construct a rhombus M A T H with diagonal MT=4 cm, angle MAT=120° - Six-sided polygon
There is a six-sided polygon. The first two angles are equal, the third angle is twice (the equal angles), two other angles are trice the equal angle, while the last angle is a right angle. Find the value of each angle. - Prism volume surface
Calculate a prism's volume and surface area with a base of a right triangle with cantilevers of length 40 and 43 cm. The height of the prism is 60 cm. - Square pyramid
What is the surface of a regular pyramid with a square base? If each edge of the base measures 40 mm, the pyramid's height is 44 mm, and the pyramid's height is 38 mm. - Base diameter
Calculate the volume and surface of a cone whose base diameter is 6 cm and height is 0.9 dm. - Calculate pyramid
Calculate the volume of the pyramid, whose base edge a = 8 cm and the sidewall makes an angle α = 60° with the square base. - Prism 4 sides
The prism has a square base with a side length of 3 cm. The diagonal of the sidewall of the prism (BG) is 5 cm. Calculate the surface of this prism in cm square and the volume in liters. - Cube from Body Diagonal
Find the volume and surface area of a cube whose space diagonal has length u = 216 cm. - Spherical cap
A spherical cap is placed on a cylinder of height 4.6 cm such that the area of the curved surface of the cap is 20 cm². Determine the radius r of the sphere from which the cap was cut. - Above Earth
To what height must a boy be raised above the earth to see one-fifth of its surface? - Airplane
An aviator can see a part of the Earth's surface with an area of 200,000 km². How high is he flying? - Lamp cone
Calculate the surface of a lampshade shaped like a rotary truncated cone with a base diameter of 32 cm and 12 cm and a height of 24 cm. - Axial section
The axial cross-section of a cone is an equilateral triangle with an area of 208 km². Calculate the volume of the cone. - Isosceles Trapezoid Arm Length
Diagonal alpha equals 0.4 m, and diagonal beta equals 0.4 m in the isosceles trapezoid. Side AB is 120 cm, and side DC is 7.6 dm. Find the length of arms in an isosceles trapezoid. Please result round to 2 decimal places. - Trapezoid MO
Right-angled trapezoid ABCD has a right angle at vertex B. Given that |AC| = 12, |CD| = 8, and the diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid. - Diagonal intersect
Isosceles trapezoid ABCD with length bases | AB | = 6 cm, CD | = 4 cm is divided into four triangles by the diagonals intersecting at point S. How much of the area of the trapezoid are ABS and CDS triangles? - Midpoints
Triangle ABC with sides a = 5 cm, b = 3 cm, c = 40 mm has a midpoint of K, L, M. How many centimeters is the long perimeter of parallelogram KBLM? - RRL Basics
What is the length of the smaller base and the height of an isosceles trapezoid if a = 9 dm, the leg is 6 dm, and angle ACB = 90°?
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