Plane Figure Areas

This page presents essential formulas for calculating the areas of various plane figures, crucial for the eighth-grade mathematics exam.

Triangle

The area of a triangle is calculated using the formula:

P = (a * h) / 2

Where 'a' is the base and 'h' is the height.

Example: For a triangle with base 6 cm and height 4 cm, the area would be (6 * 4) / 2 = 12 cm².

Equilateral Triangle

For an equilateral triangle, the area formula is:

P = (a² * √3) / 4

Where 'a' is the length of a side.

Highlight: This formula is particularly useful for wszystkie wzory matematyczne klasa 8 as it simplifies calculations for equilateral triangles.

Rectangle

The area of a rectangle is given by:

P = a * b

Where 'a' and 'b' are the lengths of the sides.

Square

For a square, the area is simply:

P = a²

Where 'a' is the length of a side.

Definition: A square is a special case of a rectangle where all sides are equal.

Rhombus

The area of a rhombus can be calculated using either of these formulas:

P = (e * f) / 2 P = a * h

Where 'e' and 'f' are the diagonals, 'a' is the side length, and 'h' is the height.

Parallelogram

The area of a parallelogram is given by:

P = a * h

Where 'a' is the base and 'h' is the height.

Trapezoid

For a trapezoid, the area formula is:

P = ((a + b) * h) / 2

Where 'a' and 'b' are the parallel sides and 'h' is the height.

Vocabulary: Trapezoid - a quadrilateral with at least one pair of parallel sides.

The page also includes a reminder of the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (c) is equal to the sum of squares of the other two sides (a and b):

a² + b² = c²

This comprehensive collection of formulas serves as an excellent resource for wzory matematyczne egzamin ósmoklasisty do druku and wzory matematyczne szkoła podstawowa PDF.