Right triangle + reason - math problems

Number of problems found: 57

  • Wheel gear
    A drive wheel of radius 2 is connected to a drive wheel of radius 1 by a pulley of length 17. What is the distance between the wheel axles?
  • Integer sides
    A right triangle with an integer length of two sides has one leg √11 long. How much is its longest side?
  • Probability
    How probable is a randomly selected three-digit number divisible by five or seven?
  • Annulus
    Two concentric circles with radii 1 and 9 surround the annular circle. This ring is inscribed with n circles that do not overlap. Determine the highest possible value of n.
  • A drone
    A flying drone aimed the area for an architect. He took off perpendicularly from point C to point D. He was at the height of 300 m above ABC's plane. The drone from point D pointed at a BDC angle of 43°. Calculate the distance between points C and B in me
  • Mysterious area
    The trapezoid ABCD is given. Calculate its area if the area of the DBC triangle is 27 cm2.
  • Land boundary
    The land has the shape of a right triangle. The hypotenuse has a length of 30m. The circumference of the land is 72 meters. What is the length of the remaining sides of the land boundary?
  • Circular railway
    The railway connects in a circular arc the points A, B, and C, whose distances are | AB | = 30 km, AC = 95 km, BC | = 70 km. How long will the track from A to C?
  • Depth angles
    At the top of the mountain stands a castle, which has a tower 30 meters high. We see the crossroad in the valley from the top of the tower and heel at depth angles of 32° 50 'and 30° 10'. How high is the top of the mountain above the crossroad
  • Quarter circle
    What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm?
  • Triangles
    Five sticks with a length of 2,3,4,5,6 cm. How many ways can you choose three sticks to form three sides of a triangle?
  • Right triangle eq2
    Find the lengths of the sides and the angles in the right triangle. Given area S = 210 and perimeter o = 70.
  • Thomas
    Thomas lives 400 meters away from Samko, Robo from Thomas also 400 m and Samko from Robo 500. Anton lives 300 meters away from Robo further as Samko. How far away lives Anton from Rob?
  • Triangles
    Hanka cut the 20 cm long straws into three pieces each piece had a length in cm. Then, with these three pieces, she tried to make a triangle. a) What circuit has each of the triangles? b) How long can the longest side measure? c) How many different triang
  • Rhombus 29
    One of the diagonals of a rhombus is equal to a side of the rhombus. Find the angles of the rhombus.
  • Equilateral triangle
    A square is inscribed into an equilateral triangle with a side of 10 cm. Calculate the length of the square side.
  • ABCD square
    In the ABCD square, the X point lies on the diagonal AC. The length of the XC is three times the length of the AX segment. Point S is the center of the AB side. The length of the AB side is 1 cm. What is the length of the XS segment?
  • Clouds
    Approximately at what height is the cloud we see under an angle of 26°10' and see the Sun at an angle of 29°15' and the shade of the cloud is 92 meters away from us?
  • Is right triangle
    Decide if the triangle XYZ is rectangular: x = 4 m, y = 6 m, z = 4 m
  • Isosceles triangle
    The perimeter of an isosceles triangle is 112 cm. The length of the arm to the length of the base is at ratio 5:6. Find the triangle area.

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