Pythagorean theorem - practice problems - page 9 of 73
Number of problems found: 1454
- Rectangle - diagonal
A rectangle whose one side measures 35 m and the other is 7 m shorter than the diagonal of the rectangle. Calculate its area in m² (square meters). - Perpendicular leg
Calculate the area of a right triangle whose longer perpendicular is six dm shorter than the hypotenuse and three dm longer than the shorter perpendicular. - Calculate
Calculate the height of an isosceles triangle with a base 37.8 mm long and an arm 23.1 mm long. - Roof height
Calculate the height of the house's roof, which is an isosceles triangle with a base of 8.4 m and arms of 6.5 m. - Is right triangle
Find out if the triangle ABC (with right angle at the vertex C) is right if: a) a = 3 dm, b = 40 cm, c = 0.5 m b) a = 8 dm, b = 1.2 m, c = 6 dm - Diamond area from diagonals
In the diamond, ABCD is AB = 4 dm, and the diagonal length is 6.4 dm long. What is the area of the diamond? - The aspect ratio
The aspect ratio of the rectangular triangle is 13:12:5. Calculate the internal angles of the triangle. - Distance - ladder
The double ladder has a height of 3 m. How high will it reach when we spread it at a distance of 1 m? - Rhombus Perimeter Diagonals
The diagonals of the diamond are 2.4 dm and 1.8 dm long. What is the perimeter of this diamond? - Is right?
Determine whether the triangle with legs (catheti) 19.5 cm and 26 cm and the length of the hypotenuse 32.5 cm is rectangular. - Diagonal - simple
Calculate the length of the diagonal of a rectangle with dimensions 5 cm and 12 cm. - Circle inscribed
Calculate the perimeter and area of a circle inscribed in a triangle measuring 3, 4, and 5 cm. - Right angled triangle
The hypotenuse of a right triangle is 17 cm long. When we decrease the length of the legs by 3 cm, then decrease its hypotenuse by 4 cm. Find the size of its legs. - 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. - Proof I
When added to the product of two consecutive integers larger one, we get the square larger one. Is this true or not? - Rhombus
Calculate the perimeter and area of a rhombus whose diagonals are 21 cm and 44 cm long. - Ladder
The 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? - Ladder wall height
A 3.4 m long ladder is leaning against a wall. Its lower end is 1.6 m away from the wall. At what height does the ladder touch the wall? - Arithmetic mean - parabola
Find the value of k so that k² + 2k – 3 is the arithmetic mean between k² + 4k + 5 and k² – 6k + 10. - Chord circle length
The chord AB is in the circle k with a radius of 13 cm. The center C of the string AB is 5 cm from the center S of the circle. How long is the AB string?
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