# Pythagorean theorem + expression of a variable from the formula - practice problems

#### Number of problems found: 338

- Radio radius

Two friends have shortwave radios with a range of 13 km. The first of them travels by train at a speed of 48 km per hour along a straight section of track, from which the second of the friends is 5 km away. How long will radio friends be allowed for both - Base and longest side

The base of a right angled triangle is 10 centimetres and the longest side is 26 centimetres. What is the area of the triangle? - Isosceles triangle

Calculate the height of the isosceles triangle ABC with the base AB, AB = c = 10 cm and the arms a = b = 13 cm long. - 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. - 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? - 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. - The triangle

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

The diamond has an area S = 120 cm^{2}, the ratio of the length of its diagonals is e: f = 5: 12. Find the lengths of the side and the height of this diamond. - Woman's day

We can easily make a heart for mothers for Woman's day by drawing two semicircles to the two upper sides of the square standing on their top. What is the radius of the circle circumscribed by this heart when the length of the side of the square is 1? - Side and diagonal

Find the circumference and the area of the rectangle if given: side a = 8 cm diagonal u = 10 cm. - Darnell

Darnell is mountain climbing with Kirk and has just climbed a 9-meter vertical rock face. Kirk is standing at the bottom of the cliff, looking up at Darnell. If Kirk is 15 meters away from Darnell, how far away from the cliff is Kirk standing? - Metal washers

Metal washers with a diameter of 80 mm are cut from a strip of steel sheet with a width of 10 cm and a length of 2 m. Calculate the percentage of material waste if no material is lost when two adjacent circles meet. - Outside point

The square ABCD and the point E lying outside the given square are given. What is the area of the square when the distance | AE | = 2, | DE | = 5 a | BE | = 4? - Right isosceles triangle

What can be the area of a right isosceles triangle with a side length of 8 cm? - Ratio in trapezium

The height v and the base a, c in the trapezoid ABCD are in the ratio 1: 6: 3, its content S = 324 square cm. Peak angle B = 35 degrees. Determine the perimeter of the trapezoid - Arm and base

The isosceles triangle has a circumference of 46 cm. Calculate its area if the arm is 5 cm longer than the base. - Right triangle

A circle with a radius of 5 cm is described in a right triangle with a 6 cm leg. What is the height at the hypotenuse of this triangle? - Calculate

Calculate the height of an isosceles triangle with base 37.8 mm long and an arm 23.1 mm long. - Rhombus and diagonals

The lengths of the diamond diagonals are e = 48cm, f = 20cm. Calculate the length of its sides.

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Pythagorean theorem is the base for the right triangle calculator. Pythagorean theorem - practice problems. Expression of a variable from the formula - practice problems.