Triangle - math word problems

  1. Angles in triangle
    trigonometry The triangle is ratio of the angles β:γ = 6:8. Angle α is 40° greater than β. What are the size of angles of the triangle?
  2. Kites
    drake Boys run kite on a cable of 68 meters long. What is the kite altitude, if the angle from the horizontal plane is 72°?
  3. Road
    cesta Between cities A and B is route 13 km long of stúpanie average 7‰. Calculate the height difference of cities A and B.
  4. Circle chord
    circleChord What is the length d of the chord circle of diameter 51 mm, if the distance from the center circle is 19 mm?
  5. Square diagonal
    square_d Calculate the length of the square diagonal if the perimeter is 476 cm.
  6. Triangle SAS
    triangle_iron Calculate the area and perimeter of the triangle, if the two sides are 51 cm and 110 cm long and angle them clamped is 130 °.
  7. Triangle SAA
    triangle_blue The triangle has one side long 71 m and its two internal angles is 60°. Calculate the perimeter and area of the triangle.
  8. Triangles
    green_triangle Equilateral triangle with side 40 cm has the same perimeter as an isosceles triangle with arm of 45 cm. Calculate the base x of an isosceles triangle.
  9. Square and circles
    kruznica_stvorec_1 Square with sides 83 cm is circumscribed and inscribed with circles. Determine the radiuses of both circles.
  10. Ladder
    rebrik_1 Ladder 8 m long is leaning against the wall. Its foot is 1 m away from the wall. In which height ladder touches the wall?
  11. Trapezoid
    trapezoid_1 Calculate area of trapezoid ABCD with sides |AD|= 68 cm, |DC|=35 cm, |CB|=12 cm, |AB|=35 cm..
  12. N-gon angles
    ngon2 What is the sum of interior angles 8-gon? What is the internal angle of a regular convex 8-polygon?
  13. Triangle SSS
    triangle_ABC Calculate perimeter and area of ​​a triangle ABC, if a=42, b=57 and c=42.
  14. Right triangle Alef
    r_triangle The obvod of a right triangle is 84 cm, the hypotenuse is 37 cm long. Determine the lengths of the legs.
  15. Slope of track
    sklon_1 Calculate the average slope (in permille and even in degrees) of the rail tracks between Prievidza (309 m AMSL) and Nitrianske Pravno (354 m AMSL), if the track is 11 km long.
  16. Rotation of the Earth
    earth_1 Calculate the circumferential speed of the Earth's surface at a latitude of 61°​​. Consider a globe with a radius of 6378 km.
  17. Right triangle
    right_triangles Calculate the missing side b and interior angles, perimeter and area of ​​a right triangle if a=10 cm and hypotenuse c = 16 cm.

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