Pythagorean theorem - high school - practice problems - page 2 of 30
Number of problems found: 600
- Circle chord
Determine the circle's radius in which the chord 6 cm away from the center is 12 cm longer than the circle's radius. - Leg and height
Solve right triangle with height v = 9.6 m and shorter cathetus b = 17.3 m. - Diamond
Calculate the length of the two diagonals of the diamond if: a = 13 cm v = 12 cm - Rhombus
The rhombus with area 137 has one diagonal that is longer by 5 than the second one. Calculate the length of the diagonals and rhombus sides.
- Euklid4
The legs of a right triangle have dimensions 244 m and 246 m. Calculate the length of the hypotenuse and the height of this right triangle. - Equilateral triangle v2
An equilateral triangle has a perimeter 36 dm. What is its area? - Goniometric form
Determine the goniometric form of a complex number z = √ 110 +4 i. - Greatest angle
Calculate the greatest triangle angle with sides 124, 323, 302. - Moivre 2
Find the cube roots of 125(cos 288° + i sin 288°).
- Euclid 5
Calculate the length of remain sides of a right triangle ABC if a = 7 cm and height vc = 5 cm. - Inscribed rectangle
The circle area is 216. Determine the area of the inscribed rectangle with one side 5 long. - Square and circles
Square with sides 83 cm is circumscribed and inscribed with circles. Determine the radiuses of both circles. - Two parallel chords
The two parallel chords of the circle have the same length of 6 cm and are 8 cm apart. Calculate the radius of the circle. - The sides
The sides of a right triangle form an arithmetic sequence. The hypotenuse is 24 cm long. Determine the remaining sides of the triangle.
- Diagonal of the rectangle
Calculate the rectangle's diagonal, which area is 54 centimeters square, and the circuit is equal to 30 cm. - Diamond
The side length of the diamond is 35 cm, and the length of the diagonal is 56 cm. Calculate the height and length of the second diagonal. - Isosceles III
The base of the isosceles triangle is 17 cm area 416 cm². Calculate the perimeter of this triangle. - Integer sides
A right triangle with an integer length of two sides has one leg √11 long. How much is its longest side? - Five-gon
Calculate the side a, the circumference, and the area of the regular 5-angle if Rop = 6cm.
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