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Area of Scalene Triangle given Shorter Side and Height on Shorter Side Calculator

Formula Used:

\[ A = \frac{S_{Shorter} \times h_{Shorter}}{2} \]

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1. What is the Area of Scalene Triangle Formula?

The area of a scalene triangle can be calculated using the formula: Area = (Shorter Side × Height on Shorter Side) / 2. This formula provides the total amount of space or region occupied by the scalene triangle.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ A = \frac{S_{Shorter} \times h_{Shorter}}{2} \]

Where:

Explanation: The formula calculates the area by taking half the product of the shorter side and its corresponding height.

3. Importance of Area Calculation

Details: Accurate area calculation is crucial for various geometric applications, construction projects, and mathematical problem-solving involving scalene triangles.

4. Using the Calculator

Tips: Enter the length of the shorter side and the height on that side in meters. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a scalene triangle?
A: A scalene triangle is a triangle with all three sides of different lengths and all three angles of different measures.

Q2: Why use this specific formula?
A: This formula is particularly useful when you know the length of one side and the height perpendicular to that side, providing a straightforward way to calculate the area.

Q3: Can this formula be used for other types of triangles?
A: Yes, this formula works for all types of triangles (scalene, isosceles, equilateral) when you know one side and its corresponding height.

Q4: What units should I use?
A: The calculator uses meters, but the formula works with any consistent unit of measurement (cm, mm, inches, etc.).

Q5: How accurate is the calculation?
A: The calculation is mathematically precise based on the input values. The result is rounded to 4 decimal places for practical use.

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