Diagonal of Angle Problems
Number of problems found: 115
- 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.
- Diagonal
Can a rhombus have the same length, diagonal, and side?
- N-gon
How many diagonals have convex 30-gon?
- Diagonals
What x-gon has 54 diagonals?
- Polygon 42
Which polygon has 42 more diagonals than sides?
- Rhombus 29
One of the diagonals of a rhombus is equal to a side of the rhombus. Find the angles of the rhombus.
- Calculate deltoid
Calculate the diagonals in the deltoid with sides of 10, 10, and shorter 6, 6 cm.
- Parallelogram - diagonals
Suppose a parallelogram ABCD, the length of one of its diagonals is equal to that of one of its sides. What are the interior angles of this parallelogram?
- Circumference 16933
In the diamond ABCD, the angle BAD is 60°; the length of the diagonal BD is 7 cm. Calculate the circumference of the diamond.
- 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?
- A rectangle 5
A rectangle has sides of 10 cm and 14 cm. Calculate the angle between a diagonal and a long side.
- Pentagon
Calculate the area of a regular pentagon whose diagonal is u=18 long.
- 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.
- Calculate 7580
The isosceles triangle XYZ has a base of z = 10 cm. The angle to the base is the sum of the angles at the base. Calculate the area of the triangle XYZ.
- Parallelogram - area
Calculate the area of the parallelogram if a = 57cm, the diagonal u = 66cm, and the angle against the diagonal is beta β = 57°43'
- 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.
- Angle of diagonals
Calculate a rectangle's perimeter and area if its diagonal is 14 cm and the diagonals form an angle of 130°.
- Diagonals
Calculate the length of the rhombus's diagonals if its side is long 21 and one of its internal angles is 10°.
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