Pythagorean theorem - 8th grade (13y) - math problems

Number of problems found: 443

  • Find radius
    numbers_49 Find the radius of the circle using the Pythagorean theorem where a=9, b=r, c= 6+r
  • The rotating
    kuzel3 The rotating cone has a height of 0.9 m and the diameter of the base is 7.2 dm. Calculate the surface of the cone. (Hint: use Pythagorean theorem for a side of cone)
  • Proof PT
    pytagoras Can you easily prove Pythagoras theorem using Euclidean theorems? If so, do it.
  • Right triangle
    rt_triangle It is given a right triangle angle alpha of 90 degrees beta angle of 55 degrees c = 10 cm use Pythagorean theorem to calculate sides a and b
  • Right triangle trigonometrics
    triangle2 Calculate the size of the remaining sides and angles of a right triangle ABC if it is given: b = 10 cm; c = 20 cm; angle alpha = 60° and the angle beta = 30° (use the Pythagorean theorem and functions sine, cosine, tangent, cotangent)
  • Height 2
    1unilateral_triangle Calculate the height of the equilateral triangle with side 27.
  • Triangle
    eq_triangle Can an equilateral triangle have a right angle?
  • Distance
    origin_math Wha is the distance between the origin and the point (18; 22)?
  • Height
    thales_law Is right that in any right triangle height is less or equal half of the hypotenuse?
  • Distance
    distance Calculate distance between two points X[18; 19] and W[20; 3].
  • Cube - wall
    cubes_2 V kocke ABCDEFGH je ?. Aký je povrch kocky?
  • Logs
    tramy The log has diameter 30 cm. What's largest beam with a rectangular cross-section can carve from it?
  • Cube diagonal
    cube_diagonal Determine the length of the cube diagonal with edge 37 mm.
  • Body diagonal
    diagonal_1 Calculate the length of the body diagonal of the 6cm cube.
  • Reverse Pythagorean theorem
    pytagors Given are lengths of the sides of the triangles. Decide which one is rectangular: Δ ABC: 77 dm, 85 dm, 36 dm ? Δ DEF: 55 dm, 82 dm, 61 dm ? Δ GHI: 24 mm, 25 mm, 7 mm ? Δ JKL: 32 dm, 51 dm, 82 dm ? Δ MNO: 51 dm, 45 dm, 24 dm ?
  • Trio 2
    decide Decide whether a trio of numbers is the side of a right triangle: 26,24,10.
  • Square
    1square Calculate area of the square with diagonal 64 cm.
  • Height
    equilateral_triangle Calculate height of the equilateral triangle if its perimeter is 8?
  • Equilateral triangle v2
    eq_triangle Equilateral triangle has a perimeter 36 dm. What is its area?
  • 4s pyramid
    pyramid_regular Regular tetrahedral pyramid has a base edge a=17 and collaterally edge length b=32. What is its height?

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Pythagorean theorem is the base for the right triangle calculator. Pythagorean theorem - math problems. Examples for 8th grade.