Square (second power, quadratic) + triangle - practice problems - last page
Number of problems found: 799
- Equilateral triangle
Calculate the side of an equilateral triangle if its area is 886 mm². - Circle
The circle k with diameter |MN| = 61. Point J lies on the circle k. Line |MJ|=22. Calculate the length of a segment JN. - Right triangle
The 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 810 cm.
- Widescreen monitor
Computer businesses were hit by a wave of widescreen monitors and televisions. Calculate the area of the LCD monitor with a diagonal size 20 inches at a ratio of 4:3 and then a 16:9 aspect ratio. Is buying widescreen monitors with the same diagonal more - Glass mosaic
How many dm² glasses are necessary to produce 97 slides of a regular 6-gon, whose side has a length 21 cm? Assume that cutting glass waste is 10%. - Tangents
To circle with a radius of 41 cm from the point R guided two tangents. The distance of both points of contact is 16 cm. Calculate the distance from point R and circle center. - Floating barrel
The barrel (cylinder shape) floats on water, the 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. - Triangle ABC
Right triangle ABC with right angle at the C, |BC|=19, |AB|=32. Calculate the height of the triangle hAB to the side AB.
- Triangle SAS
Calculate the triangle area and perimeter if the two sides are 105 dm and 68 dm long and angle them clamped is 50 °. - 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? - Square diagonal
Calculate the length of the square diagonal if the perimeter is 172 cm. - Rhombus
Calculate the perimeter and area of a rhombus whose diagonals are 39 cm and 51 cm long. - Square and circles
Square with sides 83 cm is circumscribed and inscribed with circles. Determine the radiuses of both circles.
- Cube diagonal
Determine the length of the cube diagonal with edge 23 km. - Ladder
Ladder 8 m long is leaning against the wall. Its foot is 1 m away from the wall. At which height does the ladder touch the wall? - Trapezoid
Calculate the area of trapezoid ABCD with sides |AB|= 82 cm, |BC|=60 cm, |CD|=19 cm, |AD|=39 cm.. - Triangle SSS
Calculate the perimeter and area of a triangle ABC if a=40, b=35, and c=55. - Crossroads
A passenger car and an ambulance come to the rectangular crossroad, and the ambulance leaves. Passenger car at speed 39 km/h and ambulance at 41 km/h. Calculate the relative speed of the ambulance moving to the car.
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