Angle + rhombus - practice problems - last page
Number of problems found: 37
- Construct 10921
Construct the diamond ABCD so that its diagonal BD is 8 cm and the distance of apex B from the line AD is 5 cm. Specify all options
- Diagonals of the rhombus
How long are the diagonals e, and f in the diamond if its side is 5 cm long and its area is 20 cm²?
- 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?
- Calculate deltoid
Calculate the diagonals in the deltoid with sides of 10, 10, and shorter 6, 6 cm.
- Paper box
Calculate the paper consumption on the box-shaped quadrangular prism with rhombic footstall, base edge a=6 cm, and the adjacent base edges form an angle alpha = 60 °. The box height is 10 cm. How much m² of the paper is consumed 100 such boxes?
- Rhombus
ABCD is a rhombus, ABD is an equilateral triangle, and AC is equal to 4. Find the area of the rhombus.
- Calculate 30281
One angle of the skeleton is 30 degrees larger than the other. Calculate all its angles.
- Six-fourteenths 7295
Seven twelfth windows in the castle are in the shape of an n-gon. Six-fourteenths of these windows are quadrangular in shape, while two-ninths of them are square windows. How many windows are there in the castle if there are 15 square windows?
- A rhombus 4
A rhombus has a side length of 10 cm. Find the angles at each corner of the rhombus if the shorter of the two diagonals measures 7 cm. Give your answers to the nearest degree and give clear geometric reasoning at each stage of your solution.
- Diagonals in diamond
In the rhombus, a = 160 cm and alpha = 60 degrees are given. Calculate the length of the diagonals.
- Diagonals
Calculate the length of the rhombus's diagonals if its side is long 21 and one of its internal angles is 10°.
- Square equal rhombus
Construct a square that has the same area as a rhombus ABCD if |AB| = 5cm, |AD| = 4cm, and angle |DAB| = 30°.
- Parallelogram diagonals
Find the area of a parallelogram if the diagonals u1 = 15 cm and u2 = 12 cm and the angle formed by them is 30 degrees.
- Rhombus construct
Construct parallelogram (rhombus) ABCD, | AB | = 4 cm alpha = 30° and | BD | = 5 cm.
- Parallelogram
Calculate area of the parallelogram ABCD as shown if |AB| = 13 cm, |BC| = 99 cm and angle BAD = 100°
- Quadrilateral 2
Show that the quadrilateral with vertices A(0,1), B(4,2), C(3,6) D(-5,4) has two right triangles.
- 4-gon
Is it true that a 4-gon whose two sides are parallel and the other two have equal length is a parallelogram?
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