Planimetrics - practice for 14 year olds - page 20 of 71
Number of problems found: 1415
- Regular n-gon
In a regular n-angle polygon, the internal angle is 144 degrees. Find the number n indicating the number of sides of this polygon. - Angles of a triangle
In triangle ABC, the angle beta is 15° greater than the angle alpha. The remaining angle is 30° greater than the sum of the angles alpha and beta. Calculate the angles of a triangle. - Semicircle
To a semicircle with a diameter of 10 cm, inscribe a square. What is the length of the square sides? - Rhombus A2p
The rhombus area is 13 cm², and its height is 5cm long. Find the perimeter of this rhombus.
- RT - hypotenuse and altitude
The right triangle BTG has hypotenuse g=117 m, and the altitude to g is 54 m. How long are hypotenuse segments? - Calculate 71764
The angle at the base of an isosceles triangle is 18 ° larger than the angle at the central vertex. Calculate the size of the interior angles. - Isosceles 9881
The area of an isosceles right triangle is 32 cm square. What is his circuit? - IS trapezoid
Isosceles trapezoid arm measured 35 cm. Height is 30 cm, and the middle segment is 65 cm. Find the length of its bases. - Billboard
A rectangular billboard is 2.5 m long with a diagonal of 2.8 m long. Calculate the perimeter and the area of the billboard.
- Euclid1
The right triangle has hypotenuse c = 27 cm. How large sections cuts height hc=3 cm on the hypotenuse c? - Determine 81587
Determine the type of polygon if the number of all diagonals is 90. (Write down the number of its pages.) - Triangle 5851
In a triangle, the first angle is half the second angle, and the third angle is the third of the first angle. How big are the angles in a triangle, and what is the type of triangle? - Described 4187
Find the area of the circle that is a) inscribed, b) described 6.32 cm square. - The rectangular
The rectangular trapezoid has bases 15 dm and 8 dm long, and the length of the inclined arm is 12 dm. How long is the other arm of the trapezoid?
- The rectangle
The rectangle has a circumference of 32 m. One side is 2 m longer than the other side. Calculate the side lengths of this rectangle. - The parallelogram
The circumference of the parallelogram is 79.5 m, and its shorter side is half the longer side. What is the length of which side of the parallelogram? - Diagonals of diamond
Find the area and circumference of the diamond ABCD with 15m and 11m diagonals. - Internal angles
Find the internal angles of the triangle ABC if the angle at the vertex C is twice the angle at the B and the angle at the vertex B is 4 degrees smaller than the angle at vertex A. - Rectangle from string
String 12m. Make a rectangle when one side is two times longer than its width.
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