# Pythagorean theorem - math word problems

#### Number of problems found: 786

• Rotating cone II Calculate area of surface of rotating cone with base radius r=19 cm and height h=9 cm.
• Median In the right triangle are sides a=96 dm b=31 dm. Calculate the length of the medians tc to the hypotenuse.
• Rectangle SS Perimeter of a rectangle is 268 cm and its diagonal is 99.3 cm. Determine the dimensions of the rectangle.
• V-belt Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm.
• 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)?
• 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 the volume and surface of a sphere if the radii of parallel cut r1=31 cm, r2=92 cm, and its distance v=25 cm.
• Equilateral triangle Calculate the side of an equilateral triangle if its area is 892 mm2.
• 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.
• ABS CN Calculate the absolute value of complex number -15-29i.
• Circle On the circle k with diameter |MN| = 61 J lies point J. Line |MJ|=22. Calculate the length of a segment JN.
• 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.
• Isosceles right triangle Calculate the area of an isosceles right triangle whose perimeter is 252 cm.
• Widescreen monitor Computer businesses 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 the same diagonal more advantageou
• Glass mosaic How many dm2 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%.
• Floating barrel Barrel (cylinder shape) floats on water, top of the 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 x of the chord circle of diameter 115 m if the distance from the center circle is 11 m?
• Triangle SAS Calculate the triangle area and perimeter, if the two sides are 51 cm and 110 cm long and angle them clamped is 130 °.
• Square diagonal Calculate the length of the square diagonal if the perimeter is 172 cm.
• Cube - angles Calculate the angle between the wall diagonal and cube base. Calculate the angle between the cube body diagonal and cube base.

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Pythagorean theorem is the base for the right triangle calculator.