# Pythagorean theorem - math word problems

- V-belt

Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm. - Equilateral triangle

Calculate the side of an equilateral triangle, if its area is 892 mm^{2}. - Sphere cuts

At what distance from the center intersects sphere with radius R = 56 plane, if the cut area and area of the main sphere circle is in ratio 1/2. - Sphere slices

Calculate volume and surface of a sphere, if the radii of parallel cuts r_{1}=31 cm, r_{2}=92 cm and its distance v=25 cm. - Track arc

Two straight tracks is in an angle 74°. They will join with circular arc with radius r=1127 m. How long will be arc connecting these lines (L)? How far is the center point of arc from track crossings (x)? - ABS CN

Calculate the absolute value of complex number -15-29i. - Cap

Jesters hat is shaped by a rotating cone. Calculate how much paper is needed to the cap 54 cm high when the head circumference is 47 cm. - Circle

On the circle k with diameter |MN| = 61 J lies point J. Line |MJ|=22. Calculate the length of a segment JN. - Isosceles right triangle

Calculate the area of an isosceles right triangle whose perimeter is 377 cm. - Right triangle

Legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle. - Glass mosaic

How many dm^{2}glass is nessesary to produc 97 slides of a regular 6-gon, whose side has length 21 cm? Assume that cutting glass waste is 10%. - Widescreen monitor

Computer business hit by a wave of widescreen monitors and televisions. Calculate the area of the LCD monitor with a diagonal size 20 inches at ratio 4:3 and then 16:9 aspect ratio. Is buying widescreen monitors with same diagonal more advantageous th - Floating barrel

Barrel (cylinder shape) floats on water, top of barrel is 8 dm above water and the width of surfaced barrel part is 23 dm. Barrel length is 24 dm. Calculate the volume of the barrel. - Circle chord

What is the length d of the chord circle of diameter 51 mm, if the distance from the center circle is 19 mm? - Square diagonal

Calculate the length of the square diagonal if the perimeter is 476 cm. - Triangle SAS

Calculate the area and perimeter of the triangle, if the two sides are 51 cm and 110 cm long and angle them clamped is 130 °. - Cube - angles

Calculate angle between the wall diagonal and cube base. Calculate the angle between the cube body diagonal and cube base. - Rhombus

Calculate the perimeter and area of a rhombus whose diagonals are 39 cm and 51 cm long. - Cube diagonal

Determine the length of the cube diagonal with edge 37 mm. - Square and circles

Square with sides 83 cm is circumscribed and inscribed with circles. Determine the radiuses of both circles.

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Pythagorean theorem is the base for the right triangle calculator.