Pythagorean theorem - math word problems - page 12 of 73
Number of problems found: 1453
- 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). - Rectangle circumference area
Calculate the circumference and area of a rectangle with one side 6 cm long and a diagonal 10 cm long. - Roof height
Calculate the height of the house's roof, which is an isosceles triangle with a base of 8.4 m and arms of 6.5 m. - Integer sides
A right triangle with an integer length of two sides has one leg √11 long. How long is its longest side? - Base of an isosceles triangle
Calculate the size of the base of an isosceles triangle; the height is 5 cm, and the arm's length is 6.5 cm. What is the perimeter of this triangle? - The trapezium
The trapezium is formed by cutting the top of the right-angled isosceles triangle. The trapezium base is 10 cm, and the top is 5 cm. Find the area of the trapezium. - The perimeter
The perimeter of equilateral △PQR is 12. The perimeter of the regular hexagon STUVWX is also 12. What is the ratio of the area of △PQR to STUVWX? - A square
A square with a length of diagonals 12cm gives: a) Calculate the area of a square b) The rhombus, with the same area as the square, has one diagonal with a length of 16 cm. Calculate the length of the other diagonal. - Rhombus
The rhombus has diagonal lengths of 4.2cm and 3.4cm. Calculate the length of the sides of the rhombus and its height. - The diamond
The diamond has 35 cm-wide sides, and the diagonals are in a ratio of 1:2. Calculate the diagonal lengths. - Square inscribed
Find the length of the side of the square ABCD, which is inscribed to a circle k with a radius of 10 cm. - Rectangle measurements
In the ABCD rectangle, the AB side is 16 cm long, and the AC diagonal is 20 cm long. Calculate the perimeter and area of the rectangle. - Hypotenuse
Calculate the length of the hypotenuse of a right triangle if the length of one leg is 4 cm and its area is 16 square centimeters. - Square s3
Calculate the square's diagonal, where its area is 0.49 cm square. And also calculate its circumference. - Windbreak
A tree at a height of 3 meters broke in the windbreak. Its peak fell 4.5 m from the tree. How tall was the tree? - Ladder
The ladder has a length of 3.5 meters. It is leaning against the wall, so the bottom end is 2 meters from the wall. Find the height of the ladder. - Triangle ABC
Triangle ABC has side lengths m-1, m-2, and m-3. What has to be m to be a triangle a) rectangular b) acute-angled? - Concentric circles
In the circle with diameter, 13 cm is constructed chord 1 cm long. Calculate the radius of a concentric circle that touches this chord. - Ladder
The ladder 8 m long is leaning against the wall. Its foot is 1 m away from the wall. At which height does the ladder touch the wall? - Garden perimeter area
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.
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