Prove

See also our right triangle calculator. Looking for help with calculating roots of a quadratic equation? Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation? See also our trigonometric triangle calculator. For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.

Next similar examples:

1. MO SK/CZ Z9–I–3
   John had the ball that rolled into the pool and it swam in the water. Its highest point was 2 cm above the surface. Diameter of circle that marked the water level on the surface of the ball was 8 cm. Determine the diameter of John ball.
2. Rectangle
   In rectangle with sides 3 and 10 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than to any side of the rectangle?
3. Axial section
   Axial section of the cylinder has a diagonal 31 cm long and we know that the area of the side and the area of base is in ratio 3:2. Calculate the height and radius of the cylinder base.
4. Circle
   Circle touch two parallel lines p and q; and its center lies on a line a, which is secant of lines p and q. Write the equation of circle and determine the coordinates of the center and radius. p: x-10 = 0 q: -x-19 = 0 a: 9x-4y+5 = 0
5. Square and circles
   Square with sides 61 mm is circumscribed and inscribed with circles. Determine the radiuses of both circles.
6. Rhombus and inscribed
   Rhombus has side a = 42 cm, the radius of the inscribed circle is r = 18 cm. Calculate the length of its two diagonals.
7. 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)?
8. Circle chord
   What is the length d of the chord circle of diameter 36 m, if distance from the center circle is 16 m?
9. Cone A2V
   Surface of cone in the plane is a circular arc with central angle of 126° and area 415 dm^2. Calculate the volume of a cone.
10. Cut and cone
    Calculate the volume of the rotation cone which lateral surface is circle arc with radius 15 cm and central angle 63 degrees.
11. Circle section
    Equilateral triangle with side 34 is inscribed circle section whose center is in one of the vertices of the triangle and the arc touches the opposite side. Calculate: a) the length of the arc b) the ratio betewwn the circumference to the circle sector.
12. Rectangle
    The rectangle is 11 cm long and 45 cm wide. Determine the radius of the circle circumscribing rectangle.
13. Rhombus
    It is given a rhombus of side length a = 29 cm. Touch points of inscribed circle divided his sides into sections a₁ = 14 cm and a₂ = 15 cm. Calculate the radius r of the circle and the length of the diagonals of the rhombus.
14. Cap
    Jesters hat is shaped a rotating cone. Calculate how much paper is needed to the cap 60 cm high when head circumference is 52 cm.
15. V-belt
    Calculate the length of the belt on pulleys with diameters of 113 mm and 308 mm at shaft distance 190 mm.
16. EQL triangle
    Calculate inradius and circumradius of equilateral triangle with side a=77 cm.
17. Q-Exam
    If tg α = 0.9, Calculating sin α, cos α, cotg α .