Pythagorean theorem - practice for 14 year olds - page 13 of 44
Number of problems found: 871
- The perimeter
The perimeter of a rhombus whose diagonal lengths are in the ratio 3:4 is 40 cm. What is its area in cm²? - Triangular land
Jana has a rectangular garden measuring 30 meters by 72 meters that she wants to split diagonally from corner to corner using a fence. How long does her fence need to be? - The right triangle
In the right triangle ABC with a right angle at C, we know the side lengths AC = 9 cm and BC = 7 cm. Calculate the length of the remaining side of the triangle and the size of all angles. - Two circles
Two circles with the same radius, r = 1, are given. The center of the second circle lies on the circumference of the first. What is the area of a square inscribed in the intersection of given circles? - Right angled triangle 3
Side b = 1.5, hypotenuse angle A = 70 degrees, Angle B = 20 degrees. Find the length of its unknown sides. - Rectangle 3-4-5
The sides of the rectangle are in a ratio of 3:4. The length of its diagonal is 20 cm. Calculate the area of the rectangle. - Rectangle
The length of the rectangle is in the ratio of 5:12, and the circumference is 238 cm. Calculate the length of the diagonal and the area of the rectangle. - ISO trapezoid v2
Bases of Isosceles trapezoid measured 20 cm and 4 cm, and its perimeter is 55 cm. What is the area of a trapezoid? - Round table
A round table with a diameter d = 105 cm is coated by a square tablecloth with a side length 121 cm. About how many cm is the higher center of the tablecloth than its corners? - R Trapezium
Rectangular trapezium has bases 21 and 10 and area 92 cm². What is its perimeter? - Right-angled 79894
Mug's handle is in the shape of a right-angled triangle with a hypotenuse of 15.8 cm and a shorter overhang of 5 cm. How tall is a mug? - Perpendiculars 66274
The perpendiculars of a right triangle have lengths of 30 cm and 40 cm. What is the height of the triangle? - Circle inscribed
There is a triangle ABC and a circle inscribed in this triangle with a radius of 15. Point T is the point of contact of the inscribed circle with the side BC. What is the area of the triangle ABC if | BT | = 25 a | TC | = 26? - Circumference 7065
In an isosceles triangle, the length of the base is equal to 75% of the arm's length. Determine the area of the triangle if the circumference is 22 cm. - Diameter 5668
The span of the arc is 247 cm, and the height of the arc is 21.5 cm. What is the diameter of the circle? - Rectangle 35
Find the rectangle area when the diagonal is equal to 30 cm and the width is double the length. - Circumscribed 2671
The circle's radius circumscribed by the rectangle is 5 cm, and one side of the rectangle is 6 cm long. Calculate the length of the other side and the area of the rectangle. - V-belt
Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm. - RT a-b-x
There is a right triangle with legs long a, b, and hypotenuse long x. Given that a = 6 cm and b = 9 cm, work out x. Give your answer as an exact surd. - Consider 3
Consider the isosceles trapezoid PQRS. The bases are |PQ|=120 mm, |RS|=62 mm and the arm s=48 mm. Find the height of the trapezoid, diagonal length and the area of the trapezoid.
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