Right triangle - examples

See also our right triangle calculator.

  1. Cube and sphere
    gule_1 Cube with the surface area 150 cm2 is described sphere. What is sphere surface?
  2. Rhombus and diagonals
    kosostvorec_2 The a rhombus area is 150 cm2 and the ratio of the diagonals is 3:4. Calculate the length of its height.
  3. Is right?
    rtriangle Is triangle with sides 24, 51 and 45 right triangle?
  4. Proof PT
    pytagoras Can you easy prove Pythagoras theorem using Euclidean theorems? If so, do it.
  5. Reverse Pythagorean theorem
    pytagors Given are lengths of the sides of the triangles. Decide which one is rectangular: Δ ABC: 73 m, 66 m, 51 m ? Δ DEF: 63 cm, 105 cm, 84 cm ? Δ GHI: 50 dm, 48 dm, 14 dm ? Δ JKL: 31 m, 45 m, 40 m ? Δ MNO: 28 m, 53 m, 45 m ?
  6. It is rectangular?
    nice_3d Size of two of the angles in a triangle are: α=60°, β=20°. Is it a right triangle?
  7. Triangle
    eq_triangle Can be rectangular triangle equilateral?
  8. 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°?
  9. Height
    thales_law Is right that in any right triangle height is less or equal half of the hypotenuse?
  10. Logs
    gulatina Trunk diameter is 72 cm. Is it possible to inscribe a square prism with side 54 cm?
  11. Triangle P2
    1right_triangle Can triangle have two right angles?
  12. 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.
  13. Diagonal
    rectangle_diagonal Calculate the length of the diagonal of the rectangle ABCD with sides a = 7 cm, b = 6 cm.
  14. Ladder
    rebrik_1 Ladder 5 m long is leaning against the wall. It foot is 0.9 m away from the wall. In which height ladder touch the wall?
  15. Railways
    railways Railways climb 5.8 ‰. Calculate the height difference between two points on the railway distant 2389 meters.
  16. Cube diagonal
    cube_diagonal Determine length of the cube diagonal with edge 91 dm.
  17. Square diagonal
    square_d Calculate length of the square diagonal if the perimeter is 200 cm.
  18. Square diagonal
    square_diagonal Calculate the length of diagonal of the square with side a = 23 cm.
  19. OK circle
    circles2 Calculate the radius (circumradius) of the circle described right triangle with hypotenuse long 8 and one cathetus long 4.
  20. Circle chord
    circleChord What is the length d of the chord circle of diameter 58 mm, if distance from the center circle is 24 mm?

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