Expression of a variable from the formula + triangle - practice problems - page 5 of 41
Number of problems found: 807
- Meneal's 26771
Show (using Meneal's theorem) that the center of gravity divides the line in a 1: 2 ratio. - Calculate 7580
The isosceles triangle XYZ has a base of z = 10 cm. The angle to the base is the sum of the angles at the base. Calculate the area of the triangle XYZ. - Diagonals 7084
Calculate the lengths of the wall and body diagonals of the cube with an edge length of 10 cm. - Diagonals 7029
The number of diagonals of a given polygon is 88 more than the number of its sides. How many sides does this polygon have - Centimeters 4404
Calculate the diagonal of a square if its area is equal to 169 square centimeters. - The sum 18
The sum of the three angles in a triangle is 180°. Find the 3rd angle of a triangle if the 1st and 2nd angles measure 58.3° and 45.5°. - 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. - Sides in ratio
The sides of the triangle are in a ratio of 2: 6: 5. Find the dimensions of the remaining sides if the longest side is 32 cm. - Main/central vertex
ABC is an isosceles triangle with base BC and central vertex A. The angle at vertex A is 18°. What will be the size of the angle at vertex B? - Surface and volume - cube
Find the surface and volume of a cube whose wall diagonal is 5 cm long. - The volume
The volume of the cone is 94.2 dm³, and the radius of the base is 6 dm. Calculate the surface of the cone. - 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? - Isosceles trapezoid
Find the area of an isosceles trapezoid; if the bases are 12 cm and 20 cm, the arm's length is 16 cm. - Difference of legs
In a right triangle, the hypotenuse length is 65 m, and the difference between legs is 23 m. Calculate the perimeter of this triangle. - Median in right triangle
In the rectangular triangle, ABC has known the length of the legs a = 15cm and b = 36cm. Calculate the length of the median to side c (to hypotenuse). - A rhombus
A rhombus has sides of the length of 10 cm, and the angle between two adjacent sides is 76 degrees. Find the length of the longer diagonal of the rhombus. - Body diagonal - cube
Calculate the surface and cube volume with a body diagonal 15 cm long. - The diamond
The diamond has 35 cm-wide sides, and the diagonals are in a ratio of 1:2. Calculate the diagonal lengths. - Right-angled triangle
Determine the area of a right triangle whose side lengths form successive members of an arithmetic progression, and the radius of the circle described by the triangle is 5 cm. - Equation of circle 2
Find the equation of a circle that touches the axis of y at a distance of 4 from the origin and cuts off an intercept of length 6 on the axis x.
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