Pythagorean theorem + square (second power, quadratic) - practice problems - page 9 of 36
Number of problems found: 707
- The trapezium
The trapezium is formed by cutting the top of the right-angled isosceles triangle. The trapezium base is 10 cm, and the top is 5 cm. Find the area of the trapezium. - Square s3
Calculate the diagonal of the square, where its area is 0.49 cm square. And also calculate its circumference. - Ladder
The ladder has a length of 3.5 meters. It is leaning against the wall, so the bottom end is 2 meters from the wall. Find the height of the ladder. - Concentric circles
In the circle with diameter, 13 cm is constructed chord 1 cm long. Calculate the radius of a concentric circle that touches this chord.
- Rectangular 63094
Calculate the perimeter and the area of a rectangular garden if the diagonal length is 18 m long and one of the sides of the garden is 9m long. - Cross-section 5567
What diameter must the trunk of a tree have to carve a beam with a square cross-section of 20 cm on it? - Centimeters 4404
Calculate the diagonal of a square if its area is equal to 169 square centimeters. - Diagonals
A diagonal of a rhombus is 20 cm long. If its side is 26 cm, find the length of the other diagonal. - Calculate 3561
There is a 12 cm long chord in a circle with a radius of 10 cm. Calculate the distance of the chord from the center of the circle.
- Isosceles triangle
Calculate the height of the isosceles triangle ABC with the base AB, AB = c = 10 cm, and the arms a = b = 13 cm long. - Waste
How many percents are waste from a circular plate with a radius of 1 m from which we cut a square with the highest area? - Circular ring
A square with an area of 16 centimeters is inscribed circle k1 and described to circle k2. Calculate the area of the circular ring, which circles k1, and k2 form. - Chord - TS v2
The radius of circle k measures 72 cm. Chord GH = 11 cm. What is TS? - Oil rig
The oil drilling rig is 23 meters in height and fixes the ropes, which ends are 10 meters away from the foot of the tower. How long are these ropes?
- Equilateral 80573
The field has the shape of an equilateral triangle. Calculate its area if you know that the side is 280 meters long. - Calculate 69104
The diagonal of the TV screen is 82 cm, and the height is 40 cm. Calculate the width of the screen. - Calculate 6149
Find the area and perimeter of a square whose diagonal is 10 cm. - Calculate
Calculate the height to the base of the isosceles triangle ABC if the base length is c = 24cm and the arms have a length b = 13cm. - A square
A square with a length of diagonals 12cm gives: a) Calculate the area of a square b) rhombus with the same area as the square, has one diagonal with a length of 16 cm. Calculate the length of the other diagonal.
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