Draw a straight line in the following rectangle to devide it into two ...
To divide the rectangle into two equal triangles, we need to draw a straight line from one corner of the rectangle to the opposite corner. This line will act as the diagonal of the rectangle and divide it into two congruent triangles.
To find the area of each triangle, we need to know the dimensions of the rectangle. Let's assume the length of the rectangle is "L" and the width is "W".
Step 1: Drawing the diagonal
- Draw a straight line from one corner of the rectangle to the opposite corner. This line will divide the rectangle into two triangles.
Step 2: Identifying the dimensions
- The length of the rectangle is represented by "L".
- The width of the rectangle is represented by "W".
Step 3: Finding the area of each triangle
- Since the diagonal divides the rectangle into two congruent triangles, the area of each triangle will be equal.
- The formula to find the area of a triangle is: Area = 1/2 * base * height.
- In this case, the base of each triangle is equal to the width of the rectangle (W), and the height is equal to the length of the rectangle (L).
- Therefore, the area of each triangle will be: Area = 1/2 * W * L.
Step 4: Calculating the area
- Substitute the values of length (L) and width (W) of the rectangle into the area formula.
- The area of each triangle will be: Area = 1/2 * W * L.
Step 5: Simplifying the formula
- Since the base and height are the same for both triangles, we can simplify the formula to: Area = 1/2 * (W * L).
- This can be further simplified to: Area = 1/2 * (L * W).
- Therefore, the area of each triangle is half the product of the length and width of the rectangle.
In conclusion, by drawing a straight line from one corner of the rectangle to the opposite corner, we can divide it into two congruent triangles. The area of each triangle is half the product of the length and width of the rectangle, given by the formula Area = 1/2 * (L * W).
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