Right triangle practice problems - page 57 of 86
Number of problems found: 1720
- Circumference 56291
Calculate the circumference of a circle circumscribed by a right triangle with squares 10 cm and 15 cm long. - Metal washers
Metal washers with a diameter of 80 mm are cut from a strip of steel sheet with a width of 10 cm and a length of 2 m. When two adjacent circles meet, calculate the material waste percentage if no material is lost. - Diagonal
Calculate the diagonal length of the rectangle ABCD with sides a = 7 cm, b = 10 cm. - Right triangle
Draw a right triangle ABC if |AB| = 5 cm |BC| = 3 cm, |AC| = 4 cm. Draw Thales circle above the hypotenuse of the triangle ABC. - Circumscribing
Find the radius of the circumscribed circle to the right triangle with legs 6 cm and 3 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. - Isosceles trapezoid
The old father decided to change the top plate of an isosceles-like trapezoid, which has basic dimensions of 120 cm and 60 cm, and a shoulder that is 50 centimeters long. How much does it pay for a new plate and a square meter worth 17 euros? - Square circles
Calculate the length of the described and inscribed circle to the square ABCD with a side of 5cm.
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