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 aandb:
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.