Thales' theorem - practice problems - last page

Direction: Solve each problem carefully and show your solution in each item.

Number of problems found: 46

  • Semicircle
    The semicircle with center S and the diameter AB is constructed equilateral triangle SBC. What is the magnitude of the angle ∠SAC?
  • Circumferential angle
    Vertices of the triangle ΔABC lay on the circle and are divided into arcs in the ratio 10:8:7. Determine the size of the angles of the triangle ΔABC.
  • Circumscribing
    Find the radius of the circumscribed circle to the right triangle with legs 6 cm and 3 cm.
  • OK circle
    The right triangle has hypotenuse long 33 and one cathetus long 17. Calculate the radius (circumradius) of the circle described.
  • Rectangle
    In a rectangle with sides, 8 and 9 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than any side of the rectangle?
  • Height
    Is it true that the height is less or equal to half of the hypotenuse in any right triangle?
  • «
  • 1
  • 2
  • 3

We apologize, but in this category are not a lot of examples.
Do you have unsolved problem that you need help? Ask a question, and we will try to solve it. Solving math problems.



We found similar math questions:
Solved math problems are published at new problems.

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

Math word problems
  • Math problems19655
  • geometry3226
  • Thales' theorem46
  • triangle 33
  • right triangle 33
  • circle 31
  • geometry construction problems 23
  • angle 12
  • area of a shape 11
  • Pythagorean theorem 11
  • inscribed angle theorem 8
  • The right triangle altitude theorem 8



  • New math problems
  • Popular math problems
  • Harder math problems
  • The easiest word problems

  • Worksheets
  • Calculators93
© 2025 HackMath.net | contact | en | cz | sk