Triangle - math word problems

  1. Hexagon
    sestuholnik Draw a regular hexagon inscribed in a circle with radius r=8 cm. What is its perimeter?
  2. Triangle
    sedlo Triangle KLM is given by plane coordinates of vertices: K[11, -10] L[10, 12] M[1, 3]. Calculate its area and its interior angles.
  3. Greatest angle
    triangles_4 Calculate the greatest triangle angle with sides 197, 208, 299.
  4. Road
    route-66 Average climb of the road is given by ratio 1:15. By what angle road average climb?
  5. Similarity
    similar_triangle Are two right triangles similar to each other if the first one has a acute angle 70° and second one has acute angle 20°?
  6. SAS triangle
    triangles2 The triangle has two sides long 7 and 19 and included angle 36°. Calculate area of this triangle.
  7. QuizQ
    green_triangle_1 An isosceles triangle has two sides of length 7 km and 39 km. How long is a third side?
  8. Angles
    angles_1 The outer angle of the triangle ABC at the vertex A is 114°12'. The outer angle at the vertex B is 139°18'. What size is the internal angle at the vertex C?
  9. Height
    equilateral_triangle Calculate height of the equilateral triangle if its perimeter is 8?
  10. Circumscribing
    thales Determine the radius of the circumscribed circle to the right triangle with legs 9 cm and 6 cm.
  11. Climb
    Mazda_RX7_1 On the road sign, which informs the climb is 8.7%. Car goes 5 km along this road. What is the height difference that car went?
  12. Sines
    sines In ▵ ABC, if sin(α)=0.5 and sin(β)=0.6 calculate sin(γ)
  13. OK circle
    circles2 Calculate the radius (circumradius) of the circle described right triangle with hypotenuse long 33 and one cathetus long 17.
  14. Aircraft
    aircraft The plane flies at altitude 6500 m. At the time of first measurement was to see the elevation angle of 21° and second measurement of the elevation angle of 46°. Calculate the distance the plane flew between the two measurements.
  15. Reflector
    lamp Circular reflector throws light cone with a vertex angle 49° and is on 33 m height tower. The axis of the light beam has with the axis of the tower angle 30°. What is the maximum length of the illuminated horizontal plane?
  16. It is rectangular?
    nice_3d Size of two of the angles in a triangle are: α=110°, β=40°. Is it a right triangle?
  17. Triangle
    red_triangle For how many integer values of x can 16, 15 and x be the lengths of the sides of triangle?
  18. Tetrahedral pyramid
    jehlanctyrboky What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=16 and height v=16?
  19. Side c
    trig-cos-law In △ABC a=2, b=4 and ∠C=100°. Calculate length of the side c.
  20. Two boats
    ship_1 Two boats are located from a height of 150m above the surface of the lake at depth angles of 57° and 39°. Find the distance of both boats if the sighting device and both ships are in a plane perpendicular to the surface of the lake.

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