Pythagorean theorem - practice problems - page 6 of 73
Number of problems found: 1453
- Diagonal to area
Calculate the area of a rectangle in which the diagonal length is 10 cm. - Square diagonal
The area of the square is equal to 2.56 square meters. Calculate its diagonal. - Broken tree
The tree is broken at 4 meters above the ground. The top of the tree touches the ground at a distance of 5 meters from the trunk. Calculate the original height of the tree. - Embankment height
The profile of the railway embankment has the shape of an isosceles trapezoid, where a = 16.4 m, c = 10.6 m, and b = d = 5.2 m. Calculate the embankment height. - Diagonal - simple
Calculate the length of the diagonal of a rectangle with dimensions 5 cm and 12 cm. - Equilateral triangle v2
An equilateral triangle has a perimeter 36 dm. What is its area? - OPT
What is the perimeter of a right triangle with the legs 11 cm and 24 cm long? - Circle chord
Determine the circle's radius in which the chord 15 cm away from the center is 21 cm longer than the circle's radius. - Goniometric form
Determine the goniometric form of a complex number z = √ 110 +4 i. - Base
Compute the base of an isosceles triangle, with the arm a=10 cm and a height above the base h=7 cm. - Bridge
The bridge arc has a span of 159 m and a height of 14 m. Calculate the radius of the circle arc of this bridge. - Height UT
How long is the height in the equilateral triangle with a side f = 31? - Binomials
To binomial 100x²-260x, add a number to the resulting trinomial be square of the binomial. - Equilateral triangle Calculate the side of an equilateral triangle if its area is 886 mm².
- Circle
The circle k with diameter |MN| = 85. Point J lies on the circle k. Line |NJ|=12. Calculate the length of a segment JM. - Square diagonal
Calculate the length of the square diagonal if the perimeter is 172 cm. - Iso triangle
An isosceles triangle with a base of 8 cm. Its circumference is 28 cm. Calculate the height of the triangle. - 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? - Chord center distance
Calculate the distance of a chord 19 cm long from the center of a circle with a diameter of 28 cm. - The diagonals
The diagonals in the diamond ABCD are 6 cm and 8 cm long. What is the perimeter of this diamond?
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