Diagonal - practice problems - page 7 of 28

Number of problems found: 543

Trapezoid and diagonals
Find the area of a trapezoid with bases a = 24 cm, c = 16 cm, and diagonals u = 22 cm, v = 26 cm.
Connecting lines
They are given a square ABCD. The points EFGH are the midpoints of its sides. What part of the area of the square ABCD is the area of the square created in its center by connecting the points AF, BG, CH, and DE?
Angle of diagonals
Calculate a rectangle's perimeter and area if its diagonal is 14 cm and the diagonals form an angle of 130°.
Rhombus and diagonals
The lengths of the diamond diagonals are e = 48cm f = 20cm. Calculate the length of its sides.
Diamond area from diagonals
In the diamond, ABCD is AB = 4 dm, and the diagonal length is 6.4 dm long. What is the area of the diamond?
Diagonals of a rhombus 2
One diagonal of a rhombus is greater than the other by 4 cm. If the area of the rhombus is 96 cm², find the side of the rhombus.
Rectangle diagonal
The rectangle, one side of which is 5 cm long, is divided by a 13 cm diagonal into two triangles. Calculate the area of one of these triangles in cm².
Diagonals
Given a rhombus ABCD with a diagonal length of 8 cm and 12 cm. Calculate the side length and area of the rhombus.
Rhombus OWES
OWES is a rhombus, given that OW is 6cm and one diagonal measures 8cm. Find its area?
Rectangle and diagonal
In the rectangle ABCD, we know the side length is AB = 16 cm, and the diagonal AC = 20 cm. Calculate its perimeter and area.
Diagonals
Calculate the length of the rhombus's diagonals if its side is long 21 and one of its internal angles is 10°.
Rhombus
Calculate the length of the diagonal AC of the rhombus ABCD if its perimeter is 524 dm and the other diagonal BD has length 159 dm.
Octagon
We have a square with a side 56 cm. We cut corners to make his octagon. What will be the side of the octagon?
Calculate 27441
Calculate the length of the side of the square if the size of the diagonal u = 9.9 cm is entered.
Must-have 7893
If we want to make a prism with a wooden base with a 5 cm side of a wooden bar, what is the bar's smallest diameter?
Rectangular 4624
The lengths of the sides of the rectangular garden are in the ratio of 1:2. The junction of the centers of adjacent sides is 20 m long. Calculate the perimeter and acreage of the land.
Diamond
Find the side of the diamond if its area is S = 194 cm² and one diagonal u₂ = 44 cm.
Isosceles trapezoid
In an isosceles trapezoid, the basic lengths are 15 cm and 9 cm. The diagonals are 13 cm long. Calculate the perimeter and area of the trapezoid.
Hexagon ABCDEF
In the regular hexagon ABCDEF, the diagonal AE has a length of 8cm. Calculate the circumference and the hexagon area.
Rectangle - desc circle
The length of the sides of the rectangle is at a ratio of 1:3. The circle's radius circumscribed to the rectangle is 10 cm. Calculate the rectangle's perimeter.

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