Expression of a variable from the formula + Pythagorean theorem - practice problems - page 8 of 29
Number of problems found: 580
- Rhombus and diagonals
The lengths of the diamond diagonals are e = 48cm f = 20cm. Calculate the length of its sides. - Calculate 35083
Draw an isosceles triangle ABC with a base 7 cm long and shoulders 5.5 cm long. Assemble all the heights, measure them, and calculate their sum. - Diameter 33361
The roof of the castle tower has the shape of a cone with a base diameter of 12 m and a height of 8 m. How many euros will we pay to cover the roof if 1m of square roofing costs 3.5 euros? - Ladder
How long is a ladder that touches a wall 4 meters high, and its lower part is 3 meters away from the wall?
- Space diagonal angles
Calculate the angle between the body diagonal and the side edge c of the block with dimensions: a = 28cm, b = 45cm, and c = 73cm. Then, find the angle between the body diagonal and the plane of the base ABCD. - Perpendicular 32733
Calculate the right triangle ABC, the perpendicular b = 43.5 cm of the hypotenuse c = 72.9 cm. Calculate: A hypotenuse segment cb, side a, a hypotenuse segment ca, and a height of triangle v - Railway embankment
The railway embankment section is an isosceles trapezoid, and the bases' sizes are in the ratio of 5:3. The arms have a length of 5 m, and the embankment height is 4.8 m. Calculates the size of the embankment section area. - 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. - 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.
- Calculate 32321
The shell of the cone is 62.8 cm². Calculate the side length and height of this cone if the diameter of the base is 8 cm. - Calculate 32311
Calculate the volume and surface of a cone with a base diameter of 10 dm and a side of 13 dm. - Quadrilateral 32193
In a regular quadrilateral pyramid, the base edge a = 6cm, the side edge b = 10cm. Calculate the height of the pyramid. - Cuboid diagonals
The cuboid has dimensions of 15, 20, and 40 cm. Calculate its volume and surface, the length of the body diagonal, and the lengths of all three wall diagonals. - 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.
- Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid with a volume of 24 dm³ and a height of 45 cm. - Five circles
On the line segment CD = 6 there are five circles with one radius at regular intervals. Find the lengths of the lines AD, AF, AG, BD, and CE. - Quadrilateral prism
The height of a regular quadrilateral prism is v = 10 cm, and the deviation of the body diagonal from the base is 60°. Determine the length of the base edges, the surface, and the prism's volume. - Surface of the cone
Calculate the cone's surface if its height is 8 cm and the volume is 301.44 cm³. - Volume of the cone
Calculate the cone's volume if its base area is 78.5 cm² and the shell area is 219.8 cm².
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The Pythagorean theorem is the base for the right triangle calculator. Expression of a variable from the formula - practice problems. Pythagorean theorem - practice problems.