# Expression of a variable from the formula + Pythagorean theorem - math problems

#### Number of problems found: 317

- Right triangle

It is given a right triangle angle alpha of 90 degrees beta angle of 55 degrees c = 10 cm use Pythagorean theorem to calculate sides a and b - Calculate

Calculate the length of a side of the equilateral triangle with an area of 50cm^{2}. - Circle - AG

Find the coordinates of circle and its diameter if its equation is: ? - On a line

On a line p : 3 x - 4 y - 3 = 0, determine the point C equidistant from points A[4, 4] and B[7, 1]. - On line

On line p: x = 4 + t, y = 3 + 2t, t is R, find point C, which has the same distance from points A [1,2] and B [-1,0]. - Pilot

How high is the airplane's pilot to see 0.001 of Earth's surface? - Calculate 7

Calculate the height of the trapezoid ABCD, where coordinates of vertices are: A[2, 1], B[8, 5], C[5, 5] and D[2, 3] - Five circles

On the line segment CD = 6 there are 5 circles with radius one at regular intervals. Find the lengths of the lines AD, AF, AG, BD, and CE - Spherical cap 4

What is the surface area of a spherical cap, the base diameter 20 m, height 2.5 m? Calculate using formula. - Height of pyramid

The pyramid ABCDV has edge lengths: AB = 4, AV = 7. What is its height? - Above Earth

To what height must a boy be raised above the earth to see one-fifth of its surface. - The ladder

The ladder is 10 m long The ladder is 8 m high How many meters is the distant heel from the wall? - Calculate 6

Calculate the distance of a point A[0, 2] from a line passing through points B[9, 5] and C[1, -1]. - Diagonal of square

Calculate the side of a square when its diagonal is 10 cm. - Integer sides

A right triangle with an integer length of two sides has one leg √11 long. How much is its longest side? - Equilateral triangle

Calculate the area of an equilateral triangle with circumference 72cm. - Ladder

How long is a ladder that touches on a wall 4 meters high, and its lower part is 3 meters away from the wall? - RT 11

Calculate the area of right tirangle if its perimeter is p = 45 m and one cathethus is 20 m long. - Tetrahedron

Calculate height and volume of a regular tetrahedron whose edge has a length 6 cm. - Two circles

Two circles with the same radius r = 1 are given. The center of the second circle lies on the circumference of the first. What is the area of a square inscribed in the intersection of given circles?

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