# Pythagorean theorem - problems

Pythagorean theorem is the base for the right triangle calculator.- Gimli Glider

Aircraft Boeing 767 lose both engines at 45000 feet. The plane captain maintain optimum gliding conditions. Every minute, lose 2080 feet and maintain constant speed 196 knots. Calculate how long takes to plane from engines failure to hit ground. Calculate - Right triangle

Legs of right are in ratio a:b = 5:8. Hypotenuse has a length of 16 dm. Calculate the perimeter and area of the triangle. - Diagonals of the rhombus

Calculate height of rhombus whose diagonals are 15 cm and 5 cm. - Canopy

Mr Peter has metal roof cone shape with a height of 36 cm and radius 73 cm over well. He needs paint the roof with anticorrosion. How many kg of color must he buy if the manufacturer specifies the consumption of 1 kg to 2.1 m^{2}? - Height

Is right that in any right triangle height is less or equal half of the hypotenuse? - Box

Calculate the angle between box base 5 x 7 and body diagonal length 14. - Circle

On the circle k with diameter |MN| = 41 J lies point J. Line |NJ|=12. Calculate the length of a segment JM. - Rhombus

Calculate the length of the diagonal AC of the rhombus ABCD, if its perimeter is 352 dm and the other diagonal BD has length 148 dm. - Sphere - parts

Calculate the area of a spherical cap, which is part of an area with base radius ρ = 15 cm and a height v = 2.5 cm. - Tetrahedron

Calculate height and volume of a regular tetrahedron whose edge has a length 11 cm. - Square

Rectangular square has side lengths 81 and 108 meters. How many meters will measure the path that leads straight diagonally from one corner to the other? - Cube - wall

V kocke ABCDEFGH je ?. Aký je povrch kocky? - Vertical prism

The base of vertical prism is a right triangle with leg a = 5 cm and a hypotenuse c = 13 cm. The height of the prism is equal to the circumference of the base. Calculate the surface area and volume of the prism - RT and circles

Solve right triangle if the radius of inscribed circle is r=7 and radius of circumscribed circle is R=19. - 6 regular polygon

It is given 6 side regular polygon whose side is 5 cm. Calculate its content area. Compare how many more cm^{2}(square centimeters) has a circle in which is inscribed the 6-gon. - Area of the cone

Calculate the surface area of the cone, you know the base diameter 25 cm and a height 40 cm. - Inscribed circle

Write the equation of a incircle of the triangle KLM if K [2,1], L [6,4], M [6,1]. - Triangle eq

Calculate accurate to hundredths cm height of an equilateral triangle with a side length 12 cm. Calculate also its perimeter and content area. - Ethernet cez ulicu

Karol a Jozef sú vášniví hráči počítačových hier a býva v domoch, ktoré sú presne naproti sebe cez ulicu, takže si vidia navzájom do okien. Rozhodli sa, že si svoje počítače prepoja telefónnym káblom aby mohli hrať spoločne hry. Karol býva v prvom poschodí - Umbrella

Can umbrella 75 cm long fit into a box of fruit? The box has dimensions of 390 mm and 510 mm.

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