Pythagorean theorem - 7th grade (12y) - math problems

Number of problems found: 99

  • Triangle
    eq_triangle Can be rectangular triangle equilateral?
  • Height UT
    unilateral_triangle How long is height in the equilateral triangle with a side b = 43?
  • Median
    1taznice_rt In the right triangle are sides a=41 dm b=42 dm. Calculate the length of the medians tc to the hypotenuse.
  • 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?
  • 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 ?
  • Diagonal of square
    ctverec_mo_1 Calculate the side of a square when its diagonal is 10 cm.
  • Bridge
    bridge_circle The bridge arc has a span 34 m and height 3 m. Calculate the radius of the circle arc of this bridge.
  • Box
    uhlopriecka Calculate the angle between box base 9 x 14 and body diagonal length 18.
  • Square
    ctverec_mo_2 Calculate the perimeter and the area of square with a diagonal length 30 cm.
  • Equilateral triangle
    unilateral_triangle Calculate the side of an equilateral triangle, if its area is 892 mm2.
  • Octagon
    8gon We have a square with side 84 cm. We cut the corners to make his octagon. What will be the side of the octagon?
  • Windbreak
    vichrica A tree at a height of 3 meters broke in the windbreak. Its peak fell 4.5 m from the tree. How tall was the tree?
  • EQL triangle
    rs_triangle Calculate inradius and circumradius of equilateral triangle with side a=77 cm.
  • Is right?
    rtriangle Is a triangle with sides 51, 56, and 77 right triangle?
  • Is right triangle or not
    triangle_rt1_2 If right triangle ABC, have sides a=13, b=11.5, c=22.5. Find area.
  • Trapezoid ABCD
    trapezoid_2 Calculate the perimeter of trapezoid ABCD if we know the side c=15, b=19 which is also a height and side d=20.
  • Base
    triangle_2 Compute base of an isosceles triangle, with the arm a=20 cm and a height above the base h=10 cm.
  • Ladder
    rebrik_2 The ladder has a length 3.5 meters. He is leaning against the wall so that his bottom end is 2 meters away from the wall. Determine the height of the ladder.

Do you have an interesting mathematical word problem that you can't solve it? Submit a math problem, and we can try to solve it.

We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...

Pythagorean theorem is the base for the right triangle calculator.