Diagonal + right triangle - practice problems
Number of problems found: 355
- 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. - 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. - 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. - Annular area
The square with side a = 1 is inscribed and circumscribed by circles. Find the annular area. - Square
Calculate the square's perimeter and area with a diagonal length of 30 cm. - Rhombus 47
A rhombus has a side length of 5 m and a longer diagonal length of 8 m. What is the length of the shorter diagonal of the rhombus? - The diagonals
The diagonals in the diamond ABCD are 6 cm and 8 cm long. What is the perimeter of this diamond? - Diagonal to area
Calculate the area of a rectangle in which the diagonal length is 10 cm. - Calculate 6198
Calculate the diagonal length of the 87 cm and 60 cm TVs and round the result to units. - Square
Calculate the area of the square with diagonal 17 cm. - Square diagonal
Calculate the length of the square diagonal if the perimeter is 172 cm. - Rhombus
Calculate the perimeter and area of a rhombus whose diagonals are 21 cm and 44 cm long. - 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? - Diagonal
Calculate the diagonal length of the rectangle ABCD with sides a = 7 cm, b = 10 cm. - Square2
The side of the square is a = 5.6 cm. How long is its diagonal? - Described 4187
Find the area of the circle that is a) inscribed, b) described 6.32 cm square. - Rectangle - diagonal
A rectangle whose one side measures 35m and the other is 7m shorter than the diagonal of the rectangle. Calculate its area in m² (square meters).
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