The is the distance around a given two-dimensional object. 6. If we cu...
Perimeter of a Two-Dimensional Object
The perimeter of a two-dimensional object is the distance around the object. It is the sum of the lengths of all its sides.
Area of a Triangle
The area of a triangle is given by the formula:
Area = 1/2 x base x height
where base is the length of the base of the triangle and height is the perpendicular distance from the base to the opposite vertex.
Area of Each Triangle Obtained by Cutting a Square Along its Diagonal
When a square is cut along its diagonal, two right triangles are obtained. The base and height of each triangle are equal to the sides of the square.
Let s be the length of the side of the square. Then, the base and height of each triangle are equal to s.
Therefore, the area of each triangle can be calculated as follows:
Area = 1/2 x base x height
= 1/2 x s x s
= 1/2 x s^2
Thus, the area of each triangle obtained by cutting a square along its diagonal is equal to half the product of the length of one of its sides.