Find the area of a triangle with a base of 20 cm and a height of 30 cm...
Understanding Triangle Area Calculation
To find the area of a triangle, we use the formula:
Area = (Base × Height) / 2
This formula is derived from the concept that a triangle is half of a rectangle with the same base and height.
Given Values
- Base = 20 cm
- Height = 30 cm
Calculating the Area
1. Multiply the base by the height:
- 20 cm × 30 cm = 600 cm²
2. Divide the result by 2:
- 600 cm² / 2 = 300 cm²
Final Result
The area of the triangle is therefore 300 cm². This matches option 'A' in your question.
Conclusion
- The area of the triangle is calculated correctly using the base and height provided.
- Hence, the correct answer is option 'A' (300).
This method is essential for solving similar problems in geometry, especially in Class 7 mathematics. Understanding how to apply the area formula will help in tackling various geometric figures effectively.
Find the area of a triangle with a base of 20 cm and a height of 30 cm...
Formula for Area of Triangle
The area (A) of a triangle can be calculated using the formula:
- A = (Base × Height) / 2
Where:
- Base is the length of one side of the triangle.
- Height is the perpendicular distance from the base to the opposite vertex.
Given Values
For this triangle, we have:
- Base = 20 cm
- Height = 30 cm
Calculation Steps
1. Plug in the values:
- Base = 20 cm
- Height = 30 cm
2. Use the formula:
- Area = (20 cm × 30 cm) / 2
3. Calculate the area:
- Area = 600 cm² / 2
- Area = 300 cm²
Conclusion
The area of the triangle is:
- 300 cm²