Pythagorean theorem - practice for 12 year olds
Number of problems found: 98
- Triangle
Can an equilateral triangle have a right angle? - Square
Calculate the area of the square with diagonal 64 cm. - Bridge
The bridge arc has a span of 72 m and height 5 m. Calculate the radius of the circle arc of this bridge. - Height
Calculate the height of the equilateral triangle if its perimeter is 48.
- Square
Calculate the square's perimeter and area with a diagonal length of 30 cm. - Diagonal of square
Calculate the side of a square when its diagonal is 10 cm. - Circles
The area of a circle inscribed in a square is 14. What is the area of a circle circumscribed around a square? - Perimeter of circle
Calculate the circumference of a described circle to the triangle with sides 9,12,15 cm. - Diagonal 2738
ABCD square has a diagonal length of 8 cm. What is the area of the square?
- Calculate 2566
Calculate the area of a regular hexagon with side a = 2cm - OPT
What is the perimeter of a right triangle with the legs 14 cm and 21 cm long? - Trio 2
Decide whether a trio of numbers is the side of a right triangle: 26,24,10. - Is right?
Is a triangle with sides 51, 56, and 77 right 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.
- Base
Compute the base of an isosceles triangle, with the arm a=20 cm and a height above the base h=10 cm. - Hypotenuse
Calculate the length of the hypotenuse of a right triangle with a catheti 71 cm and 49 cm long. - Rhombus
Find the length of the other diagonal and the area of the rhombus. The perimeter of a rhombus is 40 cm, and one of the diagonals is of length 10 cm. - Circumscribed 7290
Calculate the area of a regular hexagon if the radius of the circle circumscribed is 6.8 cm. - Trapezoid ABCD
Calculate the perimeter of trapezoid ABCD if we know the side c=12, b=19, which is also a height, and side d=32.
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