Planimetrics + expression of a variable from the formula - practice problems - page 14 of 46
Number of problems found: 913
- Determine 4258
Determine the length of the side of the diamond, with its two diagonals being 12 cm and 6 cm long. - Calculate 3562
The 16 cm long string is 6 cm from the circle's center. Calculate the length of the circle. - The area 2
The area of a rectangular piece of tablecloth is 3/4 m². Its width is 3/10 m. What is its length? - 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?
- 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? - The ABCD
The ABCD trapezoid has a base length of a = 120mm, c = 86mm and an area of S = 2575 mm². Calculate the height of the trapezoid. - 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).
- The diamond
The diamond has 35 cm-wide sides, and the diagonals are in a ratio of 1:2. Calculate the diagonal lengths. - The pole
A 4 m bullet supports the telegraph pole. It is at 3/4 of pole height, and the end is at a distance of 2.5 m from the pole post. Calculate the height of the telegraph pole. - Trapezoid MO-5-Z8
Trapezoid KLMN has bases 12 and 4 cm long. The area of triangle KMN is 9 cm². What is the area of the trapezoid KLMN? - Rectangle
The rectangle has a perimeter of 75 cm. The diagonal length is 32.5 cm. Determine the length of the sides. - Trapezium bases
Find the trapezium height if a = 8 cm and c = 4 cm if its area is 21 square centimeters.
- Trapezium
The area of trapezium is 35cm². Find its height if the bases are 6cm and 8cm long. - Right angled triangle
The hypotenuse of a right triangle is 17 cm long. When we decrease the length of the legs by 3 cm, then decrease its hypotenuse by 4 cm. Find the size of its legs. - Heron backlaw
Calculate the missing side in a triangle with sides 25 and 13 and area 152. - Perimeter 45121
The diamond has an area of 36.9 cm² and a side length of 9 cm. a) How many cm does the height of the diamond measure? b) Calculate the perimeter of the diamond. - Quadrilateral 45081
What is the perimeter of a quadrilateral whose first side is 3 cm longer than the second side, the third side is 5 cm shorter than the fourth side, and the second side is 2 cm shorter than the fourth side?
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