Triangle - math word problems

  1. R triangle
    right_triangle_1 Calculate the area of a right triangle whose longer leg is 6 dm shorter than the hypotenuse and 3 dm longer than the shorter leg.
  2. River
    kongo_river Calculate how many promiles river Dunaj average falls, if on section long 957 km flowing water from 1454 m AMSL to 101 m AMSL.
  3. Center
    triangle_axis Calculate the coordinates of the center of gravity T [x, y] of triangle ABC; A[11,4] B[13,-7] C[-17,-18].
  4. Sea
    ship How far can you see from the ship's mast, whose peak is at 14 meters above sea level? (Earth's radius is 6370 km).
  5. Mast
    stoziar Mast has 13 m long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 13.3°. Determine the height of the mast, if the sun above the horizon is at angle 45°12'.
  6. Felix
    astronaut Calculate how much land saw Felix Baumgartner after jump from 32 km above ground. The radius of the Earth is R = 6378 km.
  7. Common chord
    chord2 Two circles with radius 17 cm and 20 cm are intersect at two points. Its common chord is long 27 cm. What is the distance of the centers of these circles?
  8. Estate
    mapa Estate shaped rectangular trapezoid has bases long 34 m , 63 m and perpendicular arm 37 m. Calculate how long is its fence.
  9. Triangle P2
    1right_triangle Can triangle have two right angles?
  10. Rectangle
    diagonal In rectangle with sides, 6 and 3 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?
  11. Angle
    os_uhla Draw angle |∠ ABC| = 130° and built its axis. What angle is between axis angle and arm of angle?
  12. Triangle
    triangles Prove whether you can construct a triangle ABC, if a=9 cm, b=6 cm, c=10 cm.
  13. Square
    1square Calculate area of the square with diagonal 64 cm.
  14. Height 2
    1unilateral_triangle Calculate the height of the equilateral triangle with side 38.
  15. Circles 2
    zlozite_kruznice Calculate the area bounded by the circumscribed and inscribed circle in triangle with sides 12 cm, 14 cm, 18 cm.
  16. Height
    thales_law Is right that in any right triangle height is less or equal half of the hypotenuse?
  17. Octagon
    8gon We have a square with side 84 cm. We cut the corners to make his octagon. What will be the side of the octagon?
  18. Diagonal
    rhombus Can a rhombus have the same length diagonal and side?
  19. Center traverse
    trianles It is true that the middle traverse bisects the triangle?
  20. Diagonal
    diamond Can be a diagonal of diamond twice longer than it side?

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See also our trigonometric triangle calculator. See also more information on Wikipedia.