# Pythagorean theorem + real numbers - math problems

#### Number of problems found: 23

• Trigonometric functions In the right triangle is: ? Find the value of s and c: ? ?
• Sea How far can you see from the ship's mast, whose peak is at 14 meters above sea level? (Earth's radius is 6370 km).
• Square 2 Points D[10,-8] and B[4,5] are opposed vertices of the square ABCD. Calculate area of the square ABCD.
• Circle Write the equation of a circle that passes through the point [0,6] and touch the X-axis point [5,0]: ?
• Medians Calculate the sides of a right triangle if the length of the medians to the legs are ta = 21 cm and tb=12 cm.
• Diagonals of the rhombus Calculate height of rhombus whose diagonals are 12 cm and 19 cm.
• Square Points A[-9,7] and B[-4,-5] are adjacent vertices of the square ABCD. Calculate the area of the square ABCD.
• Right Δ A right triangle has the length of one leg 11 cm and the hypotenuse 61 cm size. Calculate the height of the triangle.
• Rhombus ABCD Rhombus ABCD, |AC| = 90 cm, |BD| = 49 cm. Calculate the perimeter of the rhombus ABCD.
• Rectangle SS Perimeter of a rectangle is 268 cm and its diagonal is 99.3 cm. Determine the dimensions of the rectangle.
• Spherical cap From the sphere of radius 11 was truncated spherical cap. Its height is 6. What part of the volume is a spherical cap from the whole sphere?
• Area 4gon Calculate area of 4-gon, two and the two sides are equal and parallel with lengths 11, 5, 11 and 5. Inner angles are 45°, 135°,45°, 135°.
• Pyramid roof 2/4 of the area of ​​the roof-shaped regular tetrahedral pyramid with base edge 10 m and height of 4 m is already covered with roofing. How many square meters still need to be covered?
• Axial section The axial section of the cone is an equilateral triangle with area 168 cm2. Calculate the volume of the cone.
• Short cut Imagine that you are going to a friend. That path has a length 120 meters. Then turn doprava and go other 630 meters and you are at a friend's. The question is how much the journey will be shorter if you go direct across the field?
• Movement From the crossing of two perpendicular roads started two cyclists (each at the different road). One runs at average speed 28 km/h, the second at average speed 24 km/h. Determine the distance between them after 45 minutes cycling.
• Rectangle The rectangle is 21 cm long and 38 cm wide. Determine the radius of the circle circumscribing rectangle.
• Cubes One cube is an inscribed sphere and the other one described. Calculate the difference of volumes of cubes, if the difference of surfaces in 257 mm2.
• Cube in a sphere The cube is inscribed in a sphere with a volume 7253 cm3. Determine the length of the edges of a cube.
• Forces In point O acts three orthogonal forces: F1 = 20 N, F2 = 7 N, and F3 = 19 N. Determine the resultant of F and the angles between F and forces F1, F2, and F3.

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.