Rhombus ProblemsA rhombus is a quadrilateral whose four sides all have the same length. Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides. Opposite angles of a rhombus have equal length. The diagonals of a rhombus are perpendicular and they bisect opposite angles.
Number of problems found: 108
- Find a 2
Find a length of the diagonal AC of the rhombus ABCD if its perimeter P = 112 dm and the second diagonal BD has a length of 36 dm.
- 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.
- Quadrilateral eq3
Three sides of a quadrilateral are equal to the foreside which is 16 cm long. What is the length of the one with equal sides if the perimeter is 58 cm?
- The area
The area of a rhombus is 143 m2. If the longer diagonal is 26 m, find the shorter diagonal in inches named d1.
- Parallelogram diagonals
Find the area of a parallelogram if the diagonals u1 = 15 cm, u2 = 12 cm and the angle formed by them is 30 degrees.
- Diamond PQOR
In the diamond PQOR, the diagonal RQ is 4 cm long and the angle RPQ is 60°. What is the circumference of this diamond?
- Diamond and angles
Find the area of a diamond with a side of 5 cm if you know that the internal angles in the diamond are 60° and 120°.
- Perimeter of rhombus
The area of the rhombus is 32 cm2. One side of it measures 10 cm. The height on the other side measures 5 cm. What is the circumference of this rhombus?
- The diamond
The diamond has an area S = 120 cm2, the ratio of the length of its diagonals is e: f = 5: 12. Find the lengths of the side and the height of this diamond.
- A rhombus 2
A rhombus have sides of 170 meters and diagonal of 300 meters. What is the area of the rhombus?
- The diagonals
The diagonals of the KOSA diamond are 20 cm and 48 cm long. Calculate the circumference of the diamond in centimeters rounded to one unit.
- Total area
Calculate the total area (surface and bases) of a prism whose base is a rhombus which diagonals of 12cm and 18cm and prism height is 10 cm.
- Rhombus and diagonals
The lengths of the diamond diagonals are e = 48cm, f = 20cm. Calculate the length of its sides.
- Rhombus diagonals
In the rhombus ABCD are given the sizes of diagonals e = 24 cm; f = 10 cm. Calculate the side length of the diamond and the size of the angles, calculate the content of the diamond
- Find the 13
Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3] and C[9, 4].
- Four prisms
Question No. 1: The prism has the dimensions a = 2.5 cm, b = 100 mm, c = 12 cm. What is its volume? a) 3000 cm2 b) 300 cm2 c) 3000 cm3 d) 300 cm3 Question No.2: The prism base is a rhombus with a side length of 30 cm and a height of 27 cm. The height of t
- Quadrilateral prism
Calculate the surface of a quadrilateral prism according to the input: Area of the diamond base S1 = 2.8 m2, length of the base edge a = 14 dm, height of the prism 1,500 mm.
- Two patches
Peter taped the wound with two rectangular patches (one over the other to form the letter X). The area sealed with both patches at the same time had a content of 40cm2 and a circumference of 30cm. One of the patches was 8cm wide. What was the width of the
- Construct rhombus
Construct rhombus ABCD if given diagonal length | AC | = 8cm, inscribed circle radius r = 1.5cm
- A rhombus
A rhombus has sides of length 10 cm, and the angle between two adjacent sides is 76 degrees. Find the length of the longer diagonal of the rhombus.
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