Diagonal - practice problems - page 3 of 28
Number of problems found: 544
- Circles
The area of a circle inscribed in a square is 7. What is the area of a circle circumscribed around a square?
- 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.
- Perimeter and diagonal
The perimeter of the rectangle is 82 m, and the length of its diagonal is 29 m. Find the dimensions of the rectangle.
- A rhombus 2
A rhombus has sides of 170 meters and a diagonal of 300 meters. What is the area of the rhombus?
- Diamond side
The diagonals of the diamond are 18 cm and 14 cm long. Calculate the length of the diamond side.
- Rhombus
Find the length of the other diagonal and the area of the rhombus. The perimeter of a rhombus is 56 cm, and one of the diagonals is of length 14 cm.
- Calculate 69104
The diagonal of the TV screen is 82 cm, and the height is 40 cm. Calculate the width of the screen.
- 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.
- Square
Calculate the square's perimeter and area with a diagonal length of 30 cm.
- 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.
- Rhombus 29
One of the diagonals of a rhombus is equal to a side of the rhombus. Find the angles of the rhombus.
- Median
In the right triangle are sides a=96 dm b=31 dm. Calculate the length of the medians tc to the hypotenuse.
- Ten persons
Ten persons, each person, make a hand to each person. How many hands were given?
- Area of a rectangle
Calculate a rectangle area with a diagonal of u = 12.5cm and a width of b = 3.5cm. Use the Pythagorean theorem.
- Constructed 77874
Squares are constructed above the overhangs and the transom. Connecting the outer vertices of adjacent squares creates three triangles. Prove that their areas are the same.
- Surrounded 36661
Calculate the length of the circle, which is surrounded by a square with a side length of 3 cm
- Calculate 6198
Calculate the diagonal length of the 87 cm and 60 cm TVs and round the result to units.
- Calculate square 2556
Calculate the arm length b of the trapezoid ABCD if a = 12 cm, c = 4 cm, the length of AC is same as the length of BC and the area S of the triangle ABC is 9 cm square.
- 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?
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