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Height On Medium Side Of Scalene Triangle Given Longer Side And Smaller Angle Calculator

Formula Used:

\[ h_{Medium} = S_{Longer} \times \sin(\angle_{Smaller}) \]

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1. What is the Height on Medium Side of Scalene Triangle?

The height on medium side of Scalene Triangle is the length of the perpendicular from medium side of the triangle to the opposite vertex. It's an important geometric measurement used in various triangle calculations and applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ h_{Medium} = S_{Longer} \times \sin(\angle_{Smaller}) \]

Where:

Explanation: This formula calculates the height on the medium side using trigonometric relationships between the longer side and the smaller angle of the scalene triangle.

3. Importance of Height Calculation

Details: Calculating heights in triangles is crucial for determining area, solving geometric problems, and has applications in engineering, architecture, and various technical fields.

4. Using the Calculator

Tips: Enter the longer side length in meters and the smaller angle in degrees. Both values must be positive, and the angle should be between 0° and 180°.

5. Frequently Asked Questions (FAQ)

Q1: Why use the longer side and smaller angle to calculate height?
A: This specific combination provides a direct trigonometric relationship that allows accurate calculation of the height on the medium side of the scalene triangle.

Q2: What units should I use for the inputs?
A: Use meters for side lengths and degrees for angles. The calculator automatically converts degrees to radians for trigonometric calculations.

Q3: Can this formula be used for any triangle?
A: This specific formula is designed for scalene triangles where you know the longer side and the smaller angle.

Q4: What if I have the angle in radians instead of degrees?
A: The calculator expects degrees as input. If you have radians, convert to degrees first (radians × 180/π).

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the trigonometric relationship, assuming accurate input values.

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