Pythagorean theorem + square - practice problems - page 5 of 36
Number of problems found: 705
- Calculate 5255
The area of the square is equal to 2.56 square meters. Calculate its diagonal. - Side c
In △ABC a=6, b=6 and ∠C=110°. Calculate the length of the side c. - Calculate
Calculate the height of an isosceles triangle with a base 37.8 mm long and an arm 23.1 mm long. - Is right-angled
Can a triangle with the sides of sqrt 3, sqrt 5, and sqrt 8 (√3, √5, and √8) be a right triangle?
- Semicircle
To a semicircle with a diameter of 10 cm, inscribe a square. What is the length of the square sides? - The double ladder
The double ladder has three meters-long shoulders. What is the height of the upper ladder reach if the lower ends are 1.8 meters apart? - Chord 3
The chord is 2/3 of the circle's radius from the center and has a length of 10 cm. How long is the circle radius? - Logs
The log has a diameter of 30 cm. What largest beam with a rectangular cross-section can carve from it? - Without Euclid laws
Right triangle ABC with a right angle at the C has a=14 and hypotenuse c=26. Calculate the height h of this triangle without the use of Euclidean laws.
- Calculate 8166
Calculate the perimeter of a square when we know the length of its diagonal e = 4.2 m - Equilateral 5571
The height in the equilateral triangle ABC measures the square root of 3 cm. What is the length of the center bar of this triangle? - Calculate 5499
Calculate the area of the circle, which is described by a square with a side length of 7.5 cm. - Hypotenuse 3554
Calculate the hypotenuse length if you know the area of an isosceles right triangle that is 24.5 cm square. - Estate
An estate-shaped rectangular trapezoid has bases long 35 m, 65 m, and perpendicular arm 34 m. Calculate how long its fence is.
- 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. - Ladder
Ladder 8 m long is leaning against the wall. Its foot is 1 m away from the wall. At which height does the ladder touch the wall?
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