# 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 t_{a}= 21 cm and t_{b}=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 cm^{2}. 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 mm^{2}. - Cube in a sphere

The cube is inscribed in a sphere with a volume 7253 cm^{3}. Determine the length of the edges of a cube. - Forces

In point O acts three orthogonal forces: F_{1}= 20 N, F_{2}= 7 N, and F_{3}= 19 N. Determine the resultant of F and the angles between F and forces F_{1}, F_{2}, and F_{3}.

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Pythagorean theorem is the base for the right triangle calculator.