# Pythagorean theorem - high school - math problems

#### Number of problems found: 363

• Leg and height
Solve right triangle with height v = 9.6 m and shorter cathetus b = 17.3 m.
• Circle - AG
Find the coordinates of circle and its diameter if its equation is: ?
• Angles by cosine law
Calculate the size of the angles of the triangle ABC, if it is given by: a = 3 cm; b = 5 cm; c = 7 cm (use the sine and cosine theorem).
• The mast
A 40 m high mast is secured in half by eight ropes of 25 m long. The ends of the ropes are equidistant from each other. Calculate this distance.
• Right
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: ?
• Cube in sphere
The sphere is inscribed cube with edge 8 cm. Find the radius of the sphere.
• Distance problem 2
A=(x,2x) B=(2x,1) Distance AB=√2, find value of x
• Find parameters
Find parameters of the circle in the plane - coordinates of center and radius: ?
• Catheti
The hypotenuse of a right triangle is 41 and the sum of legs is 49. Calculate the length of its legs.
• Equilateral triangle v2
Equilateral triangle has a perimeter 36 dm. What is its area?
• Hexagonal pyramid
The base of the pyramid is a regular hexagon, which can be circumscribed in a circle with a radius of 1 meter. Calculate the volume of a pyramid 2.5 meters high.
• 4s pyramid
Regular tetrahedral pyramid has a base edge a=17 and collaterally edge length b=32. What is its height?
• Rhombus
The rhombus with area 68 has one diagonal is longer by 6 than second one. Calculate the length of the diagonals and rhombus sides.
• Kostka
Kostka je vepsána do koule o poloměru r = 6 cm. Kolik procent tvoří objem kostky z objemu koule?
• Tetrahedron
Calculate height and volume of a regular tetrahedron whose edge has a length 4 cm.
• Distance between 2 points
Find the distance between the points (7, -9), (-1, -9)
• Triangle
Calculate the sides of the triangle if its area S = 630 and the second cathethus is shorter by 17.
• Circle
Write the equation of a circle that passes through the point [0,6] and touch the X-axis point [5,0]: ?
• Triangular pyramid
What is the volume of a regular triangular pyramid with a side 3 cm long?
• Semicircle
To a semicircle with diameter 10 cm inscribe square. What is the length of square sides?

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Pythagorean theorem is the base for the right triangle calculator.