Right triangle practice problems - page 57 of 86
Number of problems found: 1717
- Ratio of sides 
 Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in a ratio of 2 to 7. - Circumscribed circle to square 
 Find the length of a circle circumscribing a square side of 10 cm. Compare it to the perimeter of this square. - Tetrahedral pyramid 
 Calculate the surface S and the volume V of a regular tetrahedral pyramid with the base side a = 5 m and a body height of 14 m. - Dimensions  4700  
 The toolbox has internal dimensions, a length of 1.5 meters, a width of 80 cm, and a height of 6 dm. Calculate the longest rod we can hide in this box. - Circumference  56291  
 Calculate the circumference of a circle circumscribed by a right triangle with squares 10 cm and 15 cm long. - Parallelogram 
 The sides of the parallelogram are 8 cm and 6 cm long, and the diagonals' angle is 60°. What is its area? - Diagonal 
 Calculate the diagonal length of the rectangle ABCD with sides a = 7 cm, b = 10 cm. - The diagonals 
 The diagonals in the diamond ABCD are 6 cm and 8 cm long. What is the perimeter of this diamond? - Triangle and Cone 
 A right triangle has legs 3 cm and 4 cm long. One cone (let's call it A) was created by rotating this triangle around the long leg, and the other (let's call it B) by rotating it around the shorter leg. Which cone has: a) a larger volume b) a smaller surf - Cuboid's diagonal 
 The cuboid has a body diagonal u=25 cm, and side b is one-third longer than side a. What is the volume of the cuboid? - Pyramid 8 
 Calculate the volume and the surface area of a regular quadrangular pyramid with a base side of 9 cm and a side wall with the base has an angle of 75°. - Pyramid - angle 
 Calculate the regular quadrangular pyramid's surface, the base edge of which is measured 6 cm, and the deviation from the plane of the base's sidewall plane is 50 degrees. - Cone and the ratio 
 The rotational cone has a height of 59 cm, and the ratio of the base surface to the lateral surface is 10: 12. Calculate the surface of the base and the lateral surface. - Cuboid 
 Cuboid with edge a=6 cm and space diagonal u=31 cm has volume V=900 cm³. Calculate the length of the other edges. - Identical  35961  
 Nine identical spheres are stacked in the cube to fill the cube's volume as much as possible. What part of the volume will the cube fill? - Calculate  30971  
 Calculate the cone's surface and volume if its base diameter is 1 dm and the side length is 13 cm. - Right-angled 6034 
 A three-sided prism has a base in the shape of a right-angled triangle with a length of 5 cm. The giant wall of the prism shell has a volume of 104 cm². The prism is 8 cm high. Calculate the volume and surface area of the prism. - Perpendiculars  64574  
 Calculate the circle radius circumscribed by a right triangle whose perpendiculars are 10 cm and 24 cm long. - Semicircle 
 The semicircle with center S and the diameter AB is constructed equilateral triangle SBC. What is the magnitude of the angle ∠SAC? - OK circle 
 The right triangle has hypotenuse long 33 and one cathetus long 17. Calculate the radius (circumradius) of the circle described. 
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