Pythagorean theorem - practice problems - page 6 of 70
Number of problems found: 1397
- 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.
- Diamond side
The diagonals of the diamond are 18 cm and 14 cm long. Calculate the length of the diamond side.
- 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.
- Base
Compute the base of an isosceles triangle, with the arm a=20 cm and a height above the base h=10 cm.
- Square and circles
Square with sides 68 km is circumscribed and inscribed with circles. Determine the radiuses of both circles.
- Circumference 56291
Calculate the circumference of a circle circumscribed by a right triangle with squares 10 cm and 15 cm long.
- Calculate 7762
Calculate the size of the diagonal of an ABCD square whose perimeter is 40cm
- Calculate 6198
Calculate the diagonal length of the 87 cm and 60 cm TVs and round the result to units.
- The diagonals
The diagonals in the diamond ABCD are 6 cm and 8 cm long. What is the perimeter of this diamond?
- The triangle
The triangle has sides 5 cm long, 5 cm, and 8 cm long. What is the area of the triangle?
- Right isosceles triangle
What can be the area of a right isosceles triangle with a side length of 8 cm?
- Hypotenuse
Calculate the length of the hypotenuse of a right triangle with a catheti 71 cm and 49 cm long.
- Moivre 2
Find the cube roots of 125(cos 288° + i sin 288°).
- Inscribed rectangle
The circle area is 216. Determine the area of the inscribed rectangle with one side 5 long.
- Euklid4
The legs of a right triangle have dimensions 241 m and 34 m. Calculate the length of the hypotenuse and the height of this right triangle.
- Rhombus
The rhombus with area 95 has one diagonal that is longer by 7 than the second one. Calculate the length of the diagonals and rhombus sides.
- Leg and height
Solve right triangle with height v = 7.8 m and shorter cathetus b = 15 m.
- Rhombus
Find the length of the other diagonal and the area of the rhombus. The perimeter of a rhombus is 56 cm, and one of the diagonals is of length 14 cm.
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