Pythagorean theorem + square (second power, quadratic) - practice problems - page 11 of 36
Number of problems found: 702
- Pavement
Calculate the length of the pavement that runs through a circular square with a diameter of 40 m if the distance of the pavement from the center is 15 m. - Diagonals
Given a rhombus ABCD with a diagonal length of 8 cm and 12 cm. Calculate the side length and area of the rhombus. - Rectangular trapezium
Calculate the perimeter of a rectangular trapezium when its area is 576 cm² and side a (base) is 30 cm, height 24 cm. - Octagon
We have a square with a side 56 cm. We cut corners to make his octagon. What will be the side of the octagon?
- Equilateral 80573
The field has the shape of an equilateral triangle. Calculate its content if you know that the side is 280 meters long. - Calculate 79144
The circle's radius is r=8.9 cm, and the chord AB of this circle has a length of 16 cm. Calculate the distance of chord AB from the center of the circle. - Circumference 46171
Calculate the circumference and area of a rectangle with one side 6 cm long and a diagonal 10 cm long. - Isosceles 19393
How many dm² of the area is an isosceles triangle if the angle at the base is 45˚ and the bottom is 10 cm long? - Must-have 7893
If we want to make a prism with a wooden base with a 5 cm side of a wooden bar, what is the bar's smallest diameter?
- Calculate 2416
In the rectangle ABCD we know the side length AB = 16 cm and the diagonal AC = 20 cm. Calculate its perimeter and area. - Rectangle diagonal
The rectangle, one side of which is 5 cm long, is divided by a 13 cm diagonal into two triangles. Calculate the area of one of these triangles in cm². - Face of the house
How tall is the roof of a house in the shape of an isosceles triangle with a base length of 8 meters and an arm 5 meters long? - Tree trunk
From the tree trunk, the diameter at the narrower end is 28 cm, and a beam of the square cross-section is to be made. Calculate the longest side of the largest possible square cross-section. - Diagonals in diamond
In the rhombus is given a = 160 cm, alpha = 60 degrees. Calculate the length of the diagonals.
- Rhombus 2
Calculate the rhombus area with a height v=48 mm and shorter diagonal u = 60 mm long. - Quadrilateral 80729
Quadrilateral ABCD has side lengths AB=13cm, CD=3cm, AD=4cm. Angles ACB and ADC are right angles. Calculate the perimeter of quadrilateral ABCD. - Calculate 65014
The radius of the circle is 5.5 cm. The height is 2.3 cm, which is the chord's distance. How can we calculate the length of the string? - Triangle 63244
The area of the ABCD square in the picture is 36 cm². Points E and F are the centers of the square BC and CD sides. What is the area of the triangle AEF in cm²? - Calculate 35911
Calculate the height of the house's roof, which has the shape of an isosceles triangle with a base of 8.4 m and arms of 6.5 m.
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