Planimetrics - practice for 14 year olds - page 4 of 67
Number of problems found: 1325
- Circumference 47983
What is the area of an equilateral triangle with a circumference of 63 cm? - Perpendiculars 46081
Calculate the size of the hypotenuse in a triangle if its perpendiculars are 8 cm and 8.4 cm long. - 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 of DAB and DBC are right. - Triangular land
Jana has a rectangular garden measuring 30 meters by 72 meters that she wants to split diagonally from corner to corner using a fence. How long does her fence need to be?
- Equilateral triangle
Find the area of an equilateral triangle with a side of 15 cm. - Inscribed 43991
An irregular convex octagon is inscribed in the circle. Its four adjacent sides have a length of 3, and the remaining four adjacent sides have a size of 2. What is the area of a given octagon? - A rhombus 2
A rhombus has sides of 170 meters and a diagonal of 300 meters. What is the area of the rhombus? - Height 40911
At what height does the 15 m ladder touch the wall if its lower end is 2.5 m away from it? - Two-meter-long 39741
From the pilgrimage, Nikola has a balloon on a two-meter-long string, the end of which is held 60 cm above the ground. The balloon floats diagonally from Nikolka and is 145 cm horizontally away from her. How high is the balloon from the ground?
- Equilateral 37341
Calculate an equilateral triangle's perimeter and area with a side of 20 dm. - Garden G
The rectangular, trapezoidal garden has a base length of 81m, 76m, and a vertical arm of 12m. Calculate how many m² of the area will remain for planting greenery if 1/3 of the area is built. Calculate the consumption of mesh for land fencing. - Triangle 36091
Decide if the triangle is right (sides 5,11,7, cm) - Ladder 35331
The ladder is 13 m long, and its lower part is 5 m away from the wall. How high does the ladder reach? - Isosceles triangle
Calculate the area of an isosceles triangle, the base measuring 16 cm and the arms 10 cm.
- Alcohol from potatoes
In the distillery, 10 hl of alcohol can make from 8 t of potatoes. The rectangular field with dimensions of 600 m and 200 m had a yield of 20 t of potatoes per hectare. How many square meters of area are potatoes grown to obtain one liter of alcohol? - Calculate 25621
Calculate the area of a regular hexagon inscribed in a circle with a radius r = 7 cm. - Diamond area from diagonals
In the diamond, ABCD is AB = 4 dm, and the diagonal length is 6.4 dm long. What is the area of the diamond? - Compute 4
Compute the exact value of the triangle area with sides 14 mi, 12 mi, and 12 mi long. - Isosceles 19393
How many dm² of the area is an isosceles triangle if the angle at the base is 45˚ and the bottom is 10 cm long?
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