Triangle - examples

See also our trigonometric triangle calculator.

  1. Angles
    triangle_1111_1 In the triangle ABC, the ratio of angles is: a:b = 4: 5. The angle c is 36°. How big are the angles a, b?
  2. Rhombus MATH
    math Construct a rhombus M A T H with diagonal MT=4cm, angle MAT=120°
  3. Isosceles trapezoid
    lichobeznik_5 Calculate the content of an isosceles trapezoid whose bases are at ratio 5:3, the arm is 6cm long and it is 4cm high.
  4. Water channel
    trapezium_prism_2 The cross section of the water channel is a trapezoid. The width of the bottom is 19.7 m, the water surface width is 28.5 m, the side walls have a slope of 67°30' and 61°15'. Calculate how much water flows through the channel in 5 minutes if the water flow
  5. Inner angles
    triangle_1111 The inner angles of the triangle are 30°, 45° and 105° and its longest side is 10 cm. Calculate the length of the shortest side, write the result in cm up to two decimal places.
  6. Laws
    pyt_triangle From which law follows directly the validity of Pythagoras' theorem in the right triangle? ?
  7. Is right?
    rtriangle Is triangle with sides 24, 51 and 45 right triangle?
  8. It is rectangular?
    nice_3d Size of two of the angles in a triangle are: α=60°, β=20°. Is it a right triangle?
  9. Similarity
    similar_triangle Are two right triangles similar to each other if the first one has a acute angle 10° and second one has acute angle 50°?
  10. Triangle
    eq_triangle Can be rectangular triangle equilateral?
  11. Triangle
    triangles Prove whether you can construct a triangle ABC, if a=5 cm, b=10 cm, c=2 cm.
  12. Triangle P2
    1right_triangle Can triangle have two right angles?
  13. Right Δ
    ruler Right triangle has length of one leg 7 cm and length of the hypotenuse 25 cm. Calculate the height of the triangle.
  14. KLMN
    trapezium In the trapezoid KLMN is given this informations: 1. segments KL and MN are parallel 2. segments KL and KM has same length 3. segments KN, NM and ML has same length. Determine the size of the angle KMN.
  15. Center traverse
    trianles It is true that the middle traverse bisects the triangle?
  16. 3-bracket
    triangle2 May be the largest angle in the triangle less than 70°?
  17. 3-bracket 2
    1triangle May be the smallest angle in the triangle greater than 20°?
  18. MO SK/CZ Z9–I–3
    ball_floating_water 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.
  19. Diagonal
    rectangle_diagonal Calculate the length of the diagonal of the rectangle ABCD with sides a = 6 cm, b = 7 cm.
  20. Railways
    railways Railways climb 5.8 ‰. Calculate the height difference between two points on the railway distant 2389 meters.

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