Practice problems of the of a diagonal
Number of problems found: 464
- The perimeter
The perimeter of a rhombus whose diagonal lengths are in the ratio 3:4 is 40 cm. What is its area in cm²?
- The rectangle 5
The rectangle OABC has one vertex at O, the center of a circle, and a second vertex A is 2 cm from the edge of the circle, as shown. The vertex A is also a distance of 7 cm from C. The point B and C lie on the circumference of the circle. a. What is the r
- 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.
- The diagonal 4
The diagonal of a rhombus measures 16cm and 30cm. Find its perimeter.
- Circumference 72414
Calculate the diagonal and the area of a square if its circumference is 10 centimeters.
- Calculate 70814
The length of the sides AB and AD of the rectangle ABCD are in the ratio 3: 4. A circle k with a diameter of 10 cm describes a rectangle. Calculate the side lengths of a given rectangle.
- Calculate 69104
The diagonal of the TV screen is 82 cm, and the height is 40 cm. Calculate the width of the screen.
- Consider 3
Consider the isosceles trapezoid PQRS. The bases are |PQ|=120 mm, |RS|=62 mm and the arm s=48 mm. Find the height of the trapezoid, diagonal length and the area of the trapezoid.
- Quadrilateral 66614
The picture shows a square ABCD with the center S and the side 8 cm long. Point E is any point on the CD side other than C and D. Calculate the area of the ASBE quadrilateral in cm².
- Parallelogram 65334
In a parallelogram, the sum of the lengths of the sides a+b = 234. The angle subtended by the sides a and b is 60°. The diagonal size against the given angle of 60° is u=162. Calculate the sides of the parallelogram, its perimeter, and its area.
- Distance 64804
Dan is the square ABCD. At its diagonal AC lies point E. The distance AB is equal to the distance AE. What is the size of the EBC angle?
- Rectangular 63094
Calculate the perimeter and the area of a rectangular garden if the diagonal length is 18 m long and one of the sides of the garden is 9m long.
- Rectangle 62854
The aspect ratio of the rectangle and its diagonal is 9:12:15. Calculate the area of the rectangle if the length of the diagonal is 105 cm.
- The diagonals
The diagonals in the diamond ABCD are 6 cm and 8 cm long. What is the perimeter of this diamond?
- How long
How long is the diagonal of the square with side a = 50mm?
- 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.
- Diagonals of rhombus
Find the 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.
- 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.
- The diagonals 2
The diagonals AC and BD of a rectangle ABCD intersect at a point O. If OA=4cm, find AC and BD.