Triangle practice problems - page 76 of 125
Number of problems found: 2497
- Right-angled triangle base
Find the volume and surface area of a triangular prism with a right-angled triangle base if the length of the prism base legs are 7.2 cm and 4.7 cm and the height of the prism is 24 cm. - Perpendicular prism
Calculate the volume of the vertical prism if its height is 60.8 cm and the base is a rectangular triangle with 40.4 cm and 43 cm legs. - Embankment 7879
An embankment 7.5 m high should be built on the horizontal plane. The width of the upper surface of the embankment is 2.9 m, and the slope is 35 °. What will be the lower width of the embankment? - Overload
Calculate how many g's (gravity accelerations) the glider pilot when turning the horizontal circles of radius 139 m flying at 126 km/h. Centripetal acceleration is proportional to the square of the speed and inversely proportional to the radius of rotatio - Center of gravity
In the isosceles triangle ABC the lengths of AB and the height to AB is the ratio of 10:12. The arm has a length of 26 cm. If the center of gravity is T, find the area of the triangle ABT. - Sphere equation
Obtain the equation of a sphere. Its center is on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1). - Pyramid 4sides
Calculate the volume and the surface of a regular quadrangular pyramid when the edge of the base is 4 cm long, and the pyramid's height is 7 cm. - Railway
The railway line had a 5.8 km segment climb nine permille. How many meters does the track ascent? - The base 2
The base diameter of a right cone is 16cm, and its slant height is 12cm. A. ) Find the perpendicular height of the cone to 1 decimal place. B. ) Find the volume of the cone, and convert it to 3 significant figures. Take pi =3.14 - Billiard balls
A layer of ivory billiard balls radius of 6.35 cm is in the form of a square. The balls are arranged so that each ball is tangent to everyone adjacent to it. In the spaces between sets of 4 adjacent balls, other balls rest, equal in size to the original. - Sides of the triangle
The sides of the triangle ABC have a length of 4 cm, 5 cm, and 7 cm. Construct triangle A'B'C', similar to triangle ABC, which has a circumference of 12 cm. - Closest point
On the line p: 2x + y + 1 = 0, find the point A ∈ p that is closest to the point P =(1,0) - Cincinnati
A map is placed on a coordinate grid. Cincinnati is located at (5,4), and San Diego is located at (-10, -3). How far apart is Cincinnati from San Diego on the map? Round to the nearest tenth. - Truncated cone
Find the volume and surface area of the truncated cone if r1 = 12 cm, r2 = 5 cm, and side s = 10 cm. - Perimeter and diagonal
The perimeter of the rectangle is 82 m, and the length of its diagonal is 29 m. Find the dimensions of the rectangle. - Centimeters 6593
What is the height of a prism with the base of a right triangle with squares of eight centimeters and ten centimeters and a volume of 0.098 cubic decimetres? - The garden
The garden has the shape of a rectangular trapezium. The bases have lengths of 27 meters and 36 meters, and the trapezoid's height is 12 meters. Calculate how much a fence will cost this garden if one meter costs 1.5 €. - Rhombus 48
A rhombus consists of four identical rhombuses with an area of 42 m². The angle alpha of each rhombus is 60°. What is its perimeter? - Entrepreneur 6309
Renting a 1m² advertising board costs €780 per month. A rectangular advertising board has a length of 3 m and its diagonal makes an angle of 34 degrees with the longer side. Calculate how much € an entrepreneur will pay for 4 months of renting a blackboar - Rhombus and diagonals
The rhombus area is 150 cm2, and the ratio of the diagonals is 3:4. Calculate the length of its height.
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