Right triangle practice problems - page 57 of 86
Number of problems found: 1712
- A cylinder
A cylinder 108 cm high has a circumference of 24 cm. A string makes exactly six complete turns around the cylinder while its two ends touch the top and bottom. (forming a spiral around the cylinder). How long is the string in cm? - Touch circle
Point A has a distance (A, k) = 10 cm from a circle k with radius r = 4 cm and center S. Calculate: a) the distance of point A from the point of contact T if the tangent to the circle is drawn from point A b) the distance of the contact point T from the l - Diagonals 5551
The cube has a wall area of 81 cm². Calculate the length of its edge, wall, and solid diagonals. - Rectangular 80776
The perimeter of the rectangular garden is 42 meters. Its sides are in the ratio 3:4. Calculate the length of the sidewalk that is the diagonal of the garden. - Cube wall
Calculate the cube's diagonal if you know that one wall's surface equals 36 centimeters square. Please also calculate its volume. - Diagonals in diamons/rhombus
Rhombus ABCD has a side length AB = 4 cm and a length of one diagonal of 6.4 cm. Calculate the length of the other diagonal. - Rhombus
Calculate the length of the diagonal AC of the rhombus ABCD if its perimeter is 84 dm and the other diagonal BD has length 20 dm.
- Calculate 5499
Calculate the area of the circle, which is described by a square with a side length of 7.5 cm. - Cone
The rotating cone volume is 9.42 cm3, with a height of 10 cm. What angle is between the side of the cone and its base? - Trapezoid MO
The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid. - Three
Three points are given: A (-3, 1), B (2, -4), C (3, 3) a) Find the perimeter of triangle ABC. b) Decide what type of triangle the triangle ABC is. c) Find the length of the inscribed circle - Right triangle
Draw a right triangle ABC if |AB| = 5 cm |BC| = 3 cm, |AC| = 4 cm. Draw Thales circle above the hypotenuse of the triangle ABC. - Semicircle
The semicircle with center S and the diameter AB is constructed equilateral triangle SBC. What is the magnitude of the angle ∠SAC? - Observation tower
The observation tower is covered with a roof in the shape of a regular quadrangular pyramid with a base edge of 8 m and a height of 6 m. 60% of the roofing needs to be replaced. How many m² do you need to buy? - Dimensions 6264
Calculate the length of the body diagonal of a block whose dimensions are a = 5cm, b = 6cm, c = 10cm.
- Circumscribed circle to square
Find the length of a circle circumscribing a square side of 10 cm. Compare it to the perimeter of this square. - Circumscribing
Find the radius of the circumscribed circle to the right triangle with legs 6 cm and 3 cm. - Pentagonal pyramid
Find the volume and surface of a regular pentagonal pyramid with a base edge a = 12.8 cm and a height v = 32.1 cm. - Diagonal
Calculate the diagonal length of the rectangle ABCD with sides a = 8 cm, b = 7 cm. - Calculate 32133
The cube has an area of 486 dm². Calculate the length of its side, its volume, the length of the body, and wall diagonals.
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