Pythagorean theorem - practice problems - page 5 of 73
Number of problems found: 1446
- Isosceles triangle
The given is an isosceles triangle with a base of 24dm and an arm of 15dm. Calculate the height of the triangle.
- 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.
- 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.
- 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?
- 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.
- 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?
- The diagonals
The diagonals in the diamond ABCD are 6 cm and 8 cm long. What is the perimeter of this diamond?
- Diagonal to area
Calculate the area of a rectangle in which the diagonal length is 10 cm.
- Equilateral triangle
The equilateral triangle has a 23 cm long side. Calculate its area.
- Calculate chord
A circle k (S, 5cm) is given. Calculate the length of the chord of the circle k if it is 3 cm from the center S.
- Inscribed rectangle
The circle area is 216. Determine the area of the inscribed rectangle with one side 5 long.
- 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.
- Circumscription
Calculate the radius of the Circumscribed circle in the rectangle with sides 3 and 6. Can it be a rectangle inscribed by a circle?
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