Information on mathematics! Area formula! The "diagonals" method How to find the perimeter of a polygon? Area of a Triangle by formula (Coordinate Geometry) More info.
AREA FORMULA. The area of a square is given by the formula area = width × height But since the width and height are by definition the same, the formula is usually written as area = s2 where s is the length of one side. In strictly correct mathematical wording the formula above should be spoken as "s raised to the power of 2", meaning s is multiplied by itself. But we usually say it as "s squared". This wording actually comes from the square. The length of a line s multiplied by itself, creates the square of side s. Hence "s squared".
If you know the lengths of the diagonals, the area is half the product of the diagonals. Since both diagonals are congruent (same length), this simplifies to: The "diagonals" method where d is the length of either diagonal
The perimeter of any polygon is the total distance around the outside, which can be found by adding together the length of each side. For example, a quadrilateral whose sides are 12,6,9 and 8, the perimeter is the sum of these, or: Perimeter = 12+6+9+8 = 35 Regular Polygons For regular polygons, where all the sides are the same length, the perimeter is n times the length of any side, where n is the number of sides. Or as a formula: In the figure above, drag any orange dot to resize the polygon. Adjust the number of sides and choose regular or irregular. From side lengths shown, calculate the perimeter and verify your result matches the display in the diagram. How to find the perimeter of a polygon? where: n is the number of sides s is the length of any side perimeter = ns
Area of a Triangle by formula (Coordinate Geometry) Given the coordinates of the three vertices of a triangle ABC, the area is given by where A x and A y are the x and y coordinates of the point A etc..
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