Diagonal + triangle - practice problems
Number of problems found: 401
- RT with rectangle
In the diagram, find the lengths h and b. One rectangle and one right triangle share one side. We know two angles and the length of the common side, as shown in the picture.
- Rhombus 36
Rhombus ABCD with side 8 cm long has diagonal BD 11.3 cm long. Find angle DAB.
- Parallelogram - right angles
In parallelogram ABCD; AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram.
- Grassland and goat
An unfenced grassland is a right triangle ABC with AB = 4m, BC = 8m, and AC as hypotenuse. A goat is tied to a 5-m long rope with its stake at point O, which is 2m from side AB and 2m from the prolongation of side BC through corner B. Then: 1. How far is
- Three inscribed objects
A circle is inscribed in a square. An equilateral triangle of side 4√3 is inscribed in that circle. Find the length of the diagonal of the square.
- Four points
There are 4 nonlinear points. How many triangles can form by joining them?
- Diagonal
Can it be a diagonal diamond twice longer than its side?
- Diagonal
Can a rhombus have the same length, diagonal, and side?
- How long
How long is the diagonal of the square with side a = 50mm?
- 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.
- Square
Calculate the area of the square with diagonal 109 cm.
- Annular area
The square with side a = 1 is inscribed and circumscribed by circles. Find the annular area.
- Rhombus 29
One of the diagonals of a rhombus is equal to a side of the rhombus. Find the angles of the rhombus.
- Isosceles from square
How many isosceles triangles form in a square when we mark all diagonals?
- Tv screen
The length of its diagonal gives the size of a tv screen. If the dimension of a tv screen is 16 inches by 14 inches, what is the TV screen size?
- Median
In the right triangle are sides a=96 dm b=31 dm. Calculate the length of the medians tc to the hypotenuse.
- A rhombus 2
A rhombus has sides of 170 meters and a diagonal of 300 meters. What is the area of the rhombus?
- 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.
- Square
Calculate the square's perimeter and area with a diagonal length of 30 cm.
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