Pythagorean theorem - math word problems - page 22 of 73
Number of problems found: 1449
- R Trapezium
Rectangular trapezium has bases 21 and 10 and area 92 cm². What is its perimeter? - Trigonometric functions
In the right triangle is: tg α= frac(4) 2 Find the value of s and k: sin α= (s)/(√ 20) cos α= (k)/(√ 20) - Rectangle SS
The perimeter of a rectangle is 154 dm, and its diagonal is 62.36 dm. Find the dimensions of the rectangle. - Parallelogram 82626
Calculate the area of a parallelogram if we know the perimeter is 23 cm, the diagonal is 8.5 cm, and one side is 1.5 cm longer. - Calculate 8166
Calculate the perimeter of a square when we know the length of its diagonal e = 4.2 m - Determine 6415
Determine the distance of two parallel chords of lengths of 7 cm and 11 cm in a circle with a radius of 7 cm. - Circle's chords
The circle has two chord lengths, 30 and 34 cm. The shorter one is from the center twice as a longer chord. Determine the radius of the circle. - Hypotenuse and legs
A right triangle with hypotenuse c=25 dm is given. Calculate the length of the unknown side, given: side a=15 dm. Find the area of this triangle. Sketch the triangle and describe all its vertices and sides correctly. - 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. - The quadrilateral
The quadrilateral ABCD is composed of two right triangles, ABD and BCD. For side lengths: |AD| = 3cm, | BC | = 12cm, | BD | = 5cm. How many square centimeters (area) does the quadrilateral ABCD have? The angles of DAB and DBC are right. - Ratio of triangles areas
In an equilateral triangle ABC, the point T is its center of gravity, the point R is the image of the point T in axial symmetry along the line AB, and the point N is the image of the point T in axial symmetry along the line BC. Find the ratio of the areas - Concentric circles and chord
In a circle with a diameter d = 10 cm, a chord with a length of 6 cm is constructed. What radius has the concentric circle while touching this chord? - A-shaped ladder
An unfolded double ladder (A-shaped rung) is 10 m long. How high will it reach if the painter extends both parts of the ladder and ensures that the two parts of the ladder are 12 m apart on the ground? - Diamond diagonals
Calculate the diamonds' diagonal lengths if the diamond area is 156 cm square and the side length is 13 cm. - Rectangle 3-4-5
The sides of the rectangle are in a ratio of 3:4. The length of its diagonal is 20 cm. Calculate the area of the rectangle. - Dog
The dog is tied to a chain, which is mounted in the corner of the yard. The yard is shaped like a square with a side length of 20 meters. The same length is also a dog chain. Are there places in the yard where the dog can't reach? - EQL triangle
Calculate the inradius and circumradius of an equilateral triangle with side a=67 cm. - Rhombus and inscribed circle
It is given a rhombus with side a = 6 cm and the inscribed circle r = 2 cm radius. Calculate the length of its two diagonals. - Circumscribed 83152
Given is an isosceles triangle whose base is 8 cm, and the sides are 15 cm long. Calculate the area of the triangle and the radius of the inscribed and circumscribed circle. - Staircase 81963
How long is the staircase railing with 17 steps if the step is 32 cm deep and 14.5 cm high? The last step does not count.
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