Pythagorean theorem - high school - practice problems - page 5 of 30
Number of problems found: 600
- Perpendiculars 66274
The perpendiculars of a right triangle have lengths of 30 cm and 40 cm. What is the height of the triangle? - Circumference 66134
The isosceles trapezoid ABCD has an area of 36 cm². One of its bases is two times longer than the other. Height is 4 cm. Calculate the circumference of the trapezoid. - Calculate 65354
Calculate the surface of a spherical paragraph with a height of 6 cm and a radius of 15 cm - Magnitudes 64704
The triangle ABC determines the size of the sides a and b and the magnitudes of the interior angles β and γ, given c = 1.86 m, the line on the side c is 2.12 m, and the angle alpha is 40 ° 12 '.
- Parallelogram 64414
The parallelogram has side a = 58cm and diagonals u = 89cm, v = 52cm. Calculate the perimeter and area of this parallelogram. - Spherical 63214
The gas tank consists of a 16m high cylinder with a diameter of 28m, which is closed at the top by a spherical canopy. The center of the spherical surface lies 4m below the bottom of the cylinder. Please calculate the spherical surface's radius and the ca - Perpendicular 62844
A body with a mass of 4 kg hits an obstacle at a speed of 10 m/s. After the collision, the body continued to move at a speed of 6 m/s, while the direction of this speed was perpendicular to the direction of the speed before the collision. Find: a) change - Lunes of Hippocrates
Calculate the sum of the area of the so-called Hippocratic lunas, which were cut above the legs of a right triangle (a = 6cm, b = 8cm). Instructions: First, calculate the area of the semicircles above all sides of the ABC triangle. Compare the sum of the - Side wall planes
Find the volume and surface of a cuboid whose side c is 30 cm long and the body diagonal forms angles of 24°20' and 45°30' with the planes of the side walls.
- Cosine
Cosine and sine theorem: Calculate all missing values (sides and angles) of the triangle ABC. a = 20 cm; b = 15 cm; γ = 90°; c =? cm; α =? °; β =? ° - 11990 perimeter RT
A right triangle has integer side lengths and a perimeter of 11990. In addition, we know that one of its perpendiculars has a prime number length. Find its length. - Octahedron in a cube
What largest octahedron can we place inside a cubical box with sides equal to 72? - Three
Three points are given: A (-3, 1), B (2, -4), C (3, 3) a) Find the perimeter of triangle ABC. b) Decide what type of triangle the triangle ABC is. c) Find the length of the inscribed circle - Slant height 2
A regular triangular pyramid with a slant height of 9 m has a volume of 50 m³. Find the lateral area of the pyramid.
- Coordinates 59863
The endpoint of the vector is given, which is located at the origin of the Cartesian system Oxy. Determine the coordinates of the vector and its magnitude, and sketch it: P[3,4]; Q[-2,7]; S[-5,-2] . .. i.e., Vectors PO, QO, SO - Lengths of medians from coordinates
There is a triangle ABC: A [-6.6; 1.2], B [3.4; -5.6], C [2.8; 4.2]. Calculate the lengths of its medians. - Angle ASB
On a circle with a radius of 10 cm and with a center S, the points A, B, and C are given so that the central angle ASB is 60 degrees and the central angle ASC is 90 degrees. Find the length of the circular arc and the amount of AB and AC offsets. - Displacement 55871
Assemble the two offsets, d1, and d2, shown by OA and OB oriented lines. The coordinates of the points are O = (0m, 0m), A = (3m, 3m), and B = (5m, 2m). Measure the magnitude of the resulting displacement d. - 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?
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