# Pythagorean theorem - 9th grade (14y) - math problems

#### Number of problems found: 592

- A paint

A paint tin is a cylinder 12cm and height 22 cm. Leonardo, the painter, drops his stirring stick into the tin and it disappears. Work out the maximum length of the stick. - Circle inscribed

There is a triangle ABC and a circle inscribed in this triangle with radius 15. The point T is the point of contact of the inscribed circle with the side BC. What is the area of the triangle ABC if | BT | = 25 a | TC | = 26? - Diagonals of rhombus

Find a length of the diagonal AC of the rhombus ABCD if its perimeter P = 112 dm and the second diagonal BD has a length of 36 dm. - The coordinates

The coordinates (5, 2) and (-6, 2) are vertices of a hexagon. Explain how to find the length of the segment formed by these endpoints. How long is the segment? - Michael 2

Michael has a 35 foot ladder leaning against the side of his house. If the bottom of the ladder is 21 feet away from his house, how many feet above the ground does the ladder touch the house? - Luiza

Luiza delivers newspapers in her neighborhood. If you plot the points (-1, 1), (4, 1), (4, -2) and (-1, -2), you will create a representation of the route she takes, in miles. How many miles does her route cover? - 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? - Centre of the hypotenuse

For the interior angles of the triangle ABC, alpha beta and gamma are in a ratio of 1: 2: 3. The longest side of the AB triangle is 30 cm long. Calculate the perimeter of the triangle CBS if S is the center of the side AB. - MIT 1869

You know the length of hypotenuse parts 9 and 16, at which the hypotenuse of a right triangle is divided by a perpendicular running from its opposite vertex. The task is to find the lengths of the sides of the triangle and the length of the line x. This a - The gable

The gable of the house has the shape of an isosceles triangle, which has a base length of 14 meters, and arms with a length of 8 meters. What is the tall gable of the house? - Length of the chord

Calculate the length of the chord in a circle with a radius of 25 cm with a central angle of 26°. - School model

The beech school model of a regular quadrilateral pyramid has a base 20 cm long and 24 cm high. Calculate a) the surface of the pyramid in square decimeters, b) the mass of the pyramid in kilograms if the density of the beech is ρ = 0,8 g/cm ^ 3 - The triangle

The triangle has sides 5 cm long, 5 cm, 8 cm long. What is the area of the triangle? - Right-angled triangle base

Find the volume and surface area of a triangular prism with a right-angled triangle base if the length of the prism base legs are 7.2 cm and 4.7 cm and the height of a prism is 24 cm. - How to

How to find a total surface of a rectangular pyramid if each face is to be 8 dm high and the base is 10 dm by 6 dm. - Frustrum - volume, area

Calculate the surface and volume of the truncated cone, the radius of the smaller figure is 4 cm, the height of the cone is 4 cm and the side of the truncated cone is 5 cm. - Regular square prism

The volume of a regular square prism is 192 cm^{3}. The size of its base edge and the body height is 1: 3. Calculate the surface of the prism. - Calculate

Calculate the height to the base of the isosceles triangle ABC if the length of the base is c = 24cm and the arms have a length b = 13cm. - Rectangular

Rectangular triangle KLM with right angle at vertex L, angle beta at vertex K and angle alpha at vertex M. Angle at vertex M = 65°, side l = 17.5 cm. Use Pythagorean theorems and trigonometric functions to calculate the lengths of all sides and the angle - The quadrilateral

The quadrilateral ABCD is composed of two right triangles ABD and BCD. For side lengths: |AD| = 3cm, | BC | = 12cm, | BD | = 5cm. How many square centimeters (area) does the quadrilateral ABCD have? The angles DAB and DBC are right.

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Pythagorean theorem is the base for the right triangle calculator. Pythagorean theorem - math problems. Examples for 9th grade.